| Post Name | LECTURER IN STATISTICS & DEMOGRAPHY |
|---|---|
| Question Paper Code | 062/2021 |
| Category Code | 280/2019 |
| Date of Test | 15 July 2021 |
| Medium of Question | ENGLISH |
| Exam Type | OMR Examination |
| Total Questions | 100 |
1
$F(x)$ is a distribution function, then which of the following is not a distribution function?
Answer
C. $1-3F(x)+(F(x))^3$
2
The probability generating function of a random variable $X$ is $P_X(t)=\dfrac{0.1}{1-0.9t}$, $|t|\leq1$, then the mean of $X$ is
Answer
D. 9
3
Let the discrete random variables $X$ and $Y$ have the joint probability mass function $P[X=x,Y=y]=\dfrac{e^{-2}}{x!y!}$, $x=0,1,2,\ldots$, $y=0,1,2,\ldots$; which of the following is true?
Answer
C. $P[Y=K]=(K+1)P[Y=K+1]$, $K=0,1,2,\ldots$
4
Let $X$ be a random variable having the p.d.f. $f(x)=\dfrac{1}{\beta}e^{-x/\beta}$, $x>0$, $\beta>0$, then $Y=\sqrt{X}$ follows
Answer
C. Weibull
5
A telephone operator on an average handles 4 calls every 2 minutes. What is the probability that there will be no calls in the next minute?
Answer
A. $e^{-2}$
6
Let $X_1,X_2,\ldots,X_n$ be independent and identically distributed random variables following $U[0,1]$ distribution. Let $X_{(1)}$ denote the first order statistic. Then the mean of $X_{(1)}$ is given by
Answer
A. $\dfrac{1}{n+1}$
7
Let $X$ and $Y$ be two independent standard normal variates. Let $W=-X$ and $Z=-Y$, then which of the following pairs is not distributed as bivariate normal distribution?
Answer
D. $(X,W)$
8
Let $X_1,X_2,\ldots,X_n$ be a random sample from $N_p(\mu,\Sigma)$ population. To test $H_0:\mu=\mu_0$ against $H_1:\mu\neq\mu_0$, the correct relationship between the likelihood ratio test statistic $\Lambda$ and Hotelling's $T^2$ statistic is
Answer
A. $\Lambda^{2/n}=\dfrac{n-1}{n-1+T^2}$
9
Let $X$ and $Y$ be two chisquare random variables with respective degrees of freedom $n$ and $m$. Then which of the following is always true?
Answer
C. $E(X+Y)=m+n$
10
Let $X_1,X_2,\ldots,X_n,Y_1,Y_2,\ldots,Y_m$ be independent and identically distributed $N(\mu,\sigma^2)$ random variables. Let $\overline{X}=\dfrac{1}{n}\sum_{i=1}^nX_i$ and $\overline{Y}=\dfrac{1}{m}\sum_{i=1}^mY_i$. If $\dfrac{K(\overline{X}-\overline{Y})}{\sqrt{\sum_{i=1}^n(X_i-\overline{X})^2+\sum_{i=1}^m(Y_i-\overline{Y})^2}}$ has a t-distribution with $m+n-2$ degrees of freedom, then the value of $K$ is
Answer
B. $\dfrac{\sqrt{(m+n-2)mn}}{\sqrt{m+n}}$
11
Let $\phi_1$ and $\phi_2$ be characteristic functions of two independent random variables $X$ and $Y$, which of the following is a characteristic function?
Answer
B. $\phi_1\phi_2$
12
Let $F(x)$, $x\in\mathbb{R}^p$ be a distribution function which is continuous. Consider two sets of distribution functions $\{F_n,n\geq1\}$ and $\{G_n,n\geq1\}$, where $F_n(x)=F(x+n)$, $G_n(x)=F(x+(-1)^nn)$. Then which of the following statements is/are true? 1. $F_n(x)$ converges to a distribution function. 2. $F_n(x)$ converges but not to a distribution function. 3. $G_n(x)$ converges to a distribution function. 4. $G_n(x)$ converges but not to a distribution function.
Answer
D. 2 only
13
Let $X_1,X_2,\ldots$ be a sequence of independent and identically distributed $U(0,1)$ random variables. Let $Y_i=-2\log(1-X_i)$ and $Z_n=\dfrac{1}{n}\sum_{i=1}^nY_i$. If the distribution of $\dfrac{\sqrt{n}(Z_n-2)}{K}$ converges to $N(0,1)$ as $n\to\infty$, then a possible value of $K$ is
Answer
C. 2
14
For detecting Covid-19 a certain test gives correct diagnosis with probability 0.98. It is known that 2% of the population suffers from the disease. If a randomly selected individual from this population tests positive, then the probability that the selected individual actually has the disease is
Answer
A. 0.5
15
Let $X_1,X_2,\ldots$ be a sequence of independent and identically distributed random variables such that $P[X_1=0]=\dfrac{2}{3}=1-P[X_1=1]$. Define $U_n=\dfrac{1}{n}\sum_{i=1}^nX_i$ and $V_n=\dfrac{1}{n}\sum_{i=1}^n(1-X_i)^2$. Then which of the following statements is true?
Answer
D. $U_n\xrightarrow{P}\dfrac{1}{3}$ and $V_n\xrightarrow{P}\dfrac{2}{3}$
16
Suppose that the probability of a dry day following a rainy day is $2/3$ and that the probability of a rainy day following a dry day is $1/4$. Given that April 15 is a dry day, what is the probability that April 17 is a rainy day?
Answer
B. $13/48$
17
Suppose that customers arrive at a service counter in accordance with a Poisson process with mean rate of 3 per minute. Then the probability that the interval between two successive arrivals is more than 1 minute is
Answer
C. $e^{-3}$
18
Let the distribution of the number of offsprings in a branching process be geometric with probability $p_K=\dfrac{1}{3}\left(\dfrac{2}{3}\right)^K$, $K=0,1,2,\ldots$, then the probability of ultimate extinction is
Answer
B. $1/2$
19
Let $\{X_n,n\geq0\}$ be a Markov chain with states $j=0,1,2,\ldots$. Let $p_{jj}^{(n)}=P[X_{n+m}=j\mid X_m=j]$ and $p_{jK}^{(n)}=P[X_{n+m}=K\mid X_m=j]$. Then which of the following statements is not true? 1. State $j$ is persistent iff $\sum_{n=0}^{\infty}p_{jj}^{(n)}=\infty$. 2. If state $j$ is transient, then $p_{jj}^{(n)}\to0$ as $n\to\infty$. 3. If $K$ is a transient state and $j$ is an arbitrary state, then $\lim_{n\to\infty}p_{jK}^{(n)}=1$. 4. State $j$ is transient if $\sum_{n=0}^{\infty}p_{jj}^{(n)}<\infty$.
Answer
D. 3 only
20
The transition probability matrix of a Markov chain $\{X_n,n=1,2,\ldots\}$ having 3 states 1, 2 and 3 is $P=\begin{bmatrix}0.1&0.5&0.4\\0.6&0.2&0.2\\0.3&0.4&0.3\end{bmatrix}$ and the initial distribution is $\pi_0=(0.7,0.2,0.1)$. Then $P[X_3=2,X_2=3,X_1=3,X_0=2]$ is
Answer
D. 0.0048
21
Let $T_n$ be an unbiased and consistent estimator of a parameter $\theta$, then as an estimator of $\theta^2$, $T_n^2$ is
Answer
C. Biased and consistent
22
Let $X_1,X_2,\ldots,X_n$ be a random sample taken from a Poisson distribution with parameter $\lambda$. Define $I(\lambda)=-E\left[\dfrac{\partial^2\log f}{\partial\lambda^2}\right]$. Then the variance of an unbiased estimator of $I(\lambda)$ is larger than
Answer
B. $\dfrac{1}{n\lambda^3}$
23
Suppose $X_1,X_2,\ldots,X_n$ are $n$ observations drawn randomly from the population having the p.d.f. $f(x,\theta)=\dfrac{x^2}{2\theta^3}\exp\left(-\dfrac{x}{\theta}\right)$, $0\leq x<\infty$, where $\theta>0$, then an approximate $(1-\alpha)$ level confidence interval for $\theta$ based on the maximum likelihood estimator of $\theta$, namely $\hat\theta=\dfrac{\overline X}{3}$, is
Answer
A. $\left[\hat\theta-Z_{\alpha/2}\sqrt{\dfrac{\hat\theta^2}{3n}},\hat\theta+Z_{\alpha/2}\sqrt{\dfrac{\hat\theta^2}{3n}}\right]$
24
Let $X_1,X_2,\ldots,X_n$ be independent random variables with $X_i$ following $N(i\mu,\sigma^2)$ distribution, $i=1,2,\ldots,n$. Then the maximum likelihood estimator of $\mu$ is
Answer
C. $\dfrac{\sum_{i=1}^n iX_i}{\sum_{i=1}^n i^2}$
25
Let $X_1,X_2,\ldots,X_n$ be a random sample from a continuous distribution with probability density function $F(x)=\dfrac{1}{4}\left[e^{-|x-\mu|}+e^{-|x-2\mu|}\right]$, $-\infty
Answer
D. $\dfrac{2T}{3n}$
26
Let $X_1,X_2,\ldots,X_n$ be a random sample from $U(0,\theta)$. Define $X_{(n)}=\max\{X_1,X_2,\ldots,X_n\}$. To test $H_0:\theta=\theta_0$ against $H_1:\theta=\theta_1$, $(\theta_1>\theta_0)$, consider the test function $\phi(x)=\begin{cases}1&\text{if }X_{(n)}>\theta_0\\\alpha&\text{if }0
Answer
C. $\left(\alpha,1-\left(\dfrac{\theta_0}{\theta_1}\right)^n(1-\alpha)\right)$
27
Let $X_1,X_2,\ldots,X_n$ be a random sample from $N(0,\sigma^2)$; $\sigma>0$. Which of the following testing problems has the region $\left\{(x_1,x_2,\ldots,x_n)\in\mathbb{R}^n:\sum_{i=1}^n x_i^2\geq\chi_{n,\alpha}^2\right\}$ as the most powerful critical region of level $\alpha$, where $\chi_{n,\alpha}^2$ denotes the upper $\alpha$ quantile of a $\chi^2$ distribution with $n$ degrees of freedom?
Answer
A. $H_0:\sigma^2=1$ against $H_1:\sigma^2=2$
28
Let $X_1,X_2,\ldots,X_n$ be a random sample from $f(x,\theta)=\theta x^{\theta-1}$, $00$. For testing $H_0:\theta\leq\theta_0$ against $H_1:\theta>\theta_0$, a uniformly most powerful test of size $\alpha$ reject $H_0$ if
Answer
C. $\prod_{i=1}^nX_i>C$, $C$ a constant
29
Let $X_1,X_2,\ldots,X_n$ be a random sample from a population having p.d.f. $f(x,\theta)=\theta e^{-\theta x}$, $x>0$, $\theta>0$. To test $H_0:\theta=\theta_0$ against $H_1:\theta>\theta_0$ the critical region of the likelihood ratio test is of the form
Answer
B. $\overline X\leq C$
30
For the SPRT of strength $(\alpha,\beta)$ which of the following inequalities is satisfied by the stopping bounds $A$ and $B$ $(A>B)$?
Answer
A. $\dfrac{\alpha}{1-\beta}\leq\dfrac{1}{A},\;\dfrac{\beta}{1-\alpha}\leq B$
31
In simple random sampling with replacement of fixed sample size $n$ from a population of size $N$, the probability that a particular unit is selected atleast once in a sample is
Answer
B. $1-\left(1-\dfrac{1}{N}\right)^n$
32
From a population of size 14, a sample of 5 units is to be selected by circular systematic sampling. Let the first number selected at random be 7. Which other units are to be included in the sample?
Answer
D. 7, 10, 13, 2, 5
33
If $\rho$ is the intra class correlation, then cluster sampling is more efficient than simple random sampling when
Answer
D. $\rho<0$
34
With usual notations, in simple random sampling, bias of the ratio estimator $\hat R$ is given by
Answer
A. $-\dfrac{\operatorname{cov}(\hat R,\overline x)}{\overline X}$
35
A population of size 1120 is divided into 3 strata of sizes 320, 440, 360 having variances 9, 4, 36 respectively. To draw a stratified random sample of size 100, under optimal allocation the sample sizes to be drawn from the stratas in the order are
Answer
C. 24, 22, 54
36
In a Gauss Markov model $(Y,X\beta,\sigma^2I)$ with rank of $X_{n\times p}$ equal to $p$, the distribution of the statistic $S=\min_{\beta}(Y-X\beta)'(Y-X\beta)$ is
Answer
D. $\sigma^2\chi^2$ with $n-p$ degrees of freedom
37
Consider a BIBD with usual parameters $v,b,r,k,\lambda$. Let $N=(n_{ij})_{b\times v}$ be the incidence matrix, where $n_{ij}$ is the number of times the $j^{th}$ treatment occurs in $i^{th}$ block. Then determinant of $N'N$ is
Answer
B. $rk(r-\lambda)^{v-1}$
38
Let $y_1,y_2$ and $y_3$ be independent random variables with a common variance $\sigma^2$ and expectations given by $E(y_1)=\theta_1+\theta_3$, $E(y_2)=\theta_2+\theta_3$ and $E(y_3)=\theta_1+\theta_3$. Then which of the following is true?
Answer
C. $\theta_1+\theta_3$ is estimable
39
If in an LSD (Latin Square Design) with 7 treatments, a treatment is added, the increase in error degrees of freedom will be
Answer
A. 12
40
A $2^4$ factorial experiment is conducted in blocks of size $2^2$. If each treatment is replicated 2 times, the number of blocks required will be
Answer
B. 8
41
Correctly match the Census of India 2011 population enumeration series with data using the codes given below the lists. i. B-series; ii. C-series; iii. D-series; iv. F-series. a. Fertility data; b. Data on Migration; c. Age data; d. Data on workers. Codes: i, ii, iii, iv
Answer
B. d, c, b, a
42
Using dual record system, the Sample Registration System (SRS) provides estimates on
Answer
C. Mortality and Fertility
43
The Registration of Births and Deaths Act to make the registration of births, still births and deaths compulsory was passed in
Answer
B. 1969
44
Whipple’s index measures the
Answer
D. Digit preference for reporting age ending 0 and 5
45
Chandrasekhar and Deming’s dual record system followed by Sample Registration System (SRS) involves
Answer
A. Continuous enumeration and retrospective half-yearly survey
46
What was the population sex ratio (females per 1000 males) in Kerala as per the Census of India 2011?
Answer
C. 1084
47
As per the Sample Registration System (SRS) report 2018, what was the rural-urban differential in Total Fertility Rate (TFR) in Kerala?
Answer
A. Rural – TFR = Urban – TFR
48
Arrange in descending order, the following districts of Kerala as per the Census of India 2011 literacy rate. i. Idukki; ii. Kasaragod; iii. Wayanad; iv. Palakkad.
Answer
B. i, ii, iii, iv
49
Parity Progression Ratio (PPR) is which measure of fertility?
Answer
D. Cohort measure of fertility
50
Cohort component model of population projection is based on which mathematical function?
Answer
A. Discrete timed model
51
Which one of the following is a measure of Reproduction?
Answer
C. Gross Reproduction Rate
52
What is the relationship between Total Fertility Rate (TFR) and Gross Reproduction Rate (GRR)?
Answer
B. $\mathrm{TFR}=\mathrm{GRR}\times(1+\text{Sex Ratio at Birth})$
53
Which population is included in the denominator of General Marriage Rate (GMR)?
Answer
B. Mid-year population of single, widowed and divorced of age 15–50 year of Particular Sex
54
Which population is included in the denominator of Still Birth Rate (SBR)?
Answer
D. Number of live births and still births
55
Which one of the following is the assumption to calculate Singulate Mean Age at Marriage (SMAM)?
Answer
C. No mortality differentials by marital status
56
Crude Death Rate (CDR) is ________ of Age Specific Death Rate (ASDR).
Answer
A. Weighted sum
57
Under a constant annual growth rate of 0.03, the population will double in
Answer
C. 23.1 years
58
Calculate adjusted infant mortality rate per thousand live births for the year 2011 using the following information: 2011: $B_{2011}=344,989$, $D'_{2011}=13,812$, $D''_{2011}=4,434$; 2012: $B_{2012}=341,324$, $D'_{2012}=12,183$, $D''_{2012}=3,847$. Here, $B_{2011}$ and $B_{2012}$ are births in 2011 and 2012; $D'_{2011}$ is infant deaths in 2011 from births in 2011; $D''_{2011}$ is infant deaths in 2011 from births in 2010; $D'_{2012}$ is infant deaths in 2012 from births in 2012; and $D''_{2012}$ is infant deaths in 2012 from births in 2011.
Answer
A. 51.2
59
What is the probability of surviving $k$ years for persons in the age group $x$ to $x+n$ in abridged life table?
Answer
D. $\dfrac{{}_nL_{x+k}}{{}_nL_x}$
60
Number of years that a newborn can expect to live between ages $x$ and $y$ in a life table is equal to
Answer
A. $\dfrac{T_x-T_y}{l_0}$
61
A stable population will emerge if the following conditions prevail for a long enough period
Answer
B. Age-specific death rates are constant, the growth rate in the annual number of births is constant and age-specific rates of net migration are zero
62
Which of the following is/are preventive checks to population growth? i. Abstinence; ii. Contraception; iii. Poverty; iv. Abortion; v. Starvation.
Answer
C. Only i, ii and iv
63
Which of the following is/are contraception variable of the Proximate Determinants of Fertility? i. Permanent celibacy; ii. Coital frequency; iii. Fecundity or infecundity; iv. Use or non-use of contraception.
Answer
D. Only iii and iv
64
Who has proposed the concept of migration – “Between the desire to move and actual decision to do so there also may be intervening obstacles”?
Answer
A. E. Lee
65
Over a period of time stable population become stationary population if
Answer
B. Population growth rate remains zero
66
How to calculate population momentum if $N^F$ is the total number of females in the population, $N^M$ is the total number of males in the population, $N_S^F$ is the total number of females in the ultimate population, and $N_S^M$ is the total number of males in the ultimate population?
Answer
D. $\dfrac{N_S^F+N_S^M}{N^F+N^M}$
67
As compared with the West region life table, the South Asian model life table’s pattern of mortality shows relatively very high rates ________ and very rates again at the oldest ages, with correspondingly lower mortality for the prime age-groups.
Answer
C. Under age 15
68
Proportional mortality rate from a specific disease is defined as
Answer
A. $\dfrac{\text{Number of deaths from a specific disease in a year}}{\text{Total deaths from all causes in that year}}\times100$
69
Epidemiology is defined as “The study of the distribution and determinants of health-related states or events in specified proportions and the application of this study to the control of health problems”. Who gave this definition?
Answer
C. John M. Last
70
Attributable Risk (AR) is defined as
Answer
B. $\dfrac{\text{Incidence of disease rate among exposed}-\text{incidence of disease rate among non exposed}}{\text{Incidence rate among exposed}}\times100$
71
Which one of the following is the objective of National Population Policy 2000?
Answer
D. Reduce maternal mortality ratio below 100 per 100,000 live births
72
What includes the denominator of incidence rate of a disease over a specified period of time?
Answer
C. Average population during time interval
73
According to National Family Health Survey 2015-16, what percentage of women aged 15–49 were anaemic in Kerala?
Answer
C. 34.3
74
Rank the States in ascending order of their Population Density according to the Census of India 2011.
Answer
D. Orissa, Gujarat, Andhra Pradesh, Karnataka
75
According to Longitudinal Aging Study of India 2017–18, arrange the states in ascending order of self-reported prevalence of diagnosed cardiovascular disease among older adults aged 45 and above
Answer
B. Goa, Jammu and Kashmir, Chandigarh, Kerala
76
According to SRS based Abridged Life Tables 2014–18, what is the expectation of life at age 60 of total population in Kerala?
Answer
C. 20 years
77
Annapurna Scheme provides
Answer
A. Food security for senior citizen
78
Which one of the following Goal of Sustainable Development Goal (SDG) talk about “Reduced Inequalities”?
Answer
D. Goal – 10
79
Which of the following is/are key feature of Kangaroo mother care? i. Early, continuous and prolonged skin-to-skin contact between the mother and the baby; ii. Start breast feeding within one hour of birth; iii. Exclusive breast feeding (ideally); iv. Keep baby in incubator just after birth.
Answer
C. Only i and iii
80
According to National Family Health Survey (2015-16) which one of the following State have highest level of unmet need for family planning among currently married women of reproductive age group?
Answer
B. Kerala
81
Let $a_n=\sqrt{n+1}-\sqrt n$. Choose the correct statement.
Answer
A. The sequence $\{a_n\}$ converges
82
Choose the divergent series whose $n^{\text{th}}$ term is
Answer
C. $\sqrt{\dfrac{n-1}{n^3+1}}$
83
The function $h(x)=\begin{cases}1-x&\text{if }x\in\mathbb{Q}\\x&\text{if }x\notin\mathbb{Q}\end{cases}$, where $\mathbb{Q}$ denotes the set of all rational numbers, is
Answer
C. Continuous at $x=\dfrac12$
84
Which of the following functions is uniformly continuous on $(0,1)$?
Answer
B. $f(x)=\dfrac{\sin x}{x}$
85
What is the largest possible value of $f(10)$, where $f$ is differentiable on the interval $[0,10]$ with $f(0)=10$ and $f'(x)\leq3$ $\forall\,x\in[0,10]$?
Answer
C. 40
86
Let $f$ be a real valued function on $[a,b]$ such that $f$ is differentiable on $(a,b)$ and both $f(a^+)$ and $f(b^-)$ exist. Then there exists $c\in(a,b)$ such that
Answer
D. $f(b^-)-f(a^+)=f'(c)(b-a)$
87
$\displaystyle\lim_{x\to\infty}\left(\dfrac{x-1}{x+1}\right)^x=$
Answer
C. $\dfrac1{e^2}$
88
$1-\dfrac12+\dfrac13-\dfrac14+\cdots=$
Answer
B. $\log_e2$
89
Let $f:[0,1]\to\mathbb{R}$ be defined by $f(x)=\begin{cases}\dfrac1{2^n}&\text{if }x\in\left(\dfrac1{2^{n+1}},\dfrac1{2^n}\right]\text{ for some }n=0,1,2,\ldots\\0&\text{otherwise}\end{cases}$. Then $\displaystyle\int_0^1 f(x)\,dx=$
Answer
B. $\dfrac23$
90
If $f(x)=\displaystyle\int_0^{x^2}\cos\sqrt t\,dt$, then $f'(x)=$
Answer
A. $2x\cos x$
91
Which of the following is not a subspace of $M_n(\mathbb{R})$, the space of all $n\times n$ matrices over $\mathbb{R}$?
Answer
B. $\{A\in M_n(\mathbb{R}):\det(A)=0\}$
92
Consider the vectors $X=(1,0,1,0,1)$, $Y=(0,1,0,1,0)$, $Z=(1,1,1,1,1)$ and $U=(1,-1,1,-1,1)$. The dimension of the subspace spanned by these 4 vectors in $\mathbb{R}^5$ is
Answer
D. 2
93
Let $T:\mathbb{R}^3\to\mathbb{R}^2$ be defined by $T(x,y,z)=(x+y,x-z)$. Then which of the following forms a basis for the Kernel of $T$?
Answer
C. $\{(1,-1,1)\}$
94
What is the dimension of the vector space of $n\times n$ real symmetric matrices with trace 0, over $\mathbb{R}$?
Answer
B. $\dfrac{n^2+n}{2}-1$
95
If $A=\begin{bmatrix}1&2&1&1\\0&2&4&1\\2&6&6&3\\4&6&0&3\end{bmatrix}$, then $\operatorname{rank}(A^2)=$
Answer
B. 2
96
Let $\mathcal{P}(x)$ denote the vector space of all real polynomials and $T:\mathcal{P}(x)\to\mathcal{P}(x)$ be the differential operator. Then
Answer
B. $T$ is onto
97
Let $P_3(X)$ denote the vector space of all real polynomials of degree at most 3. Define $T:P_3(X)\to P_3(X)$ by $TP(X)=P(2X)$. Then the matrix of $T$ w.r.t. the basis $\{1,X,X^2,X^3\}$ is
Answer
C. $\begin{bmatrix}1&0&0&0\\0&2&0&0\\0&0&4&0\\0&0&0&8\end{bmatrix}$
98
Which of the following matrices is not diagonalizable over $\mathbb{R}$?
Answer
A. $\begin{bmatrix}1&1&0\\0&1&0\\0&0&2\end{bmatrix}$
99
Let $A=\begin{bmatrix}1&0&0\\0&2&0\\0&0&2\end{bmatrix}$ and $V=\{P(A):P\text{ is a polynomial with real coefficients}\}$. Then the dimension of $V$ over $\mathbb{R}$ is
Answer
C. 2
100
Let $M=\begin{bmatrix}2&0&1\\1&1&4\\3&0&2\end{bmatrix}$. Choose the correct expression for evaluating $M^{-1}$.
Answer
D. $M^{-1}=M^2-5M+5I$
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