Question54:-A cafeteria can seat a maximum of 50 persons. Customers arrive according to Poisson distribution at the rate of
10 per hour and are served at the rate of 10 per hour. Then the expected number of customers in the cafeteria is

A:-25
B:-0
C:-24
D:-25.5
Correct Answer:- Option-A
Question55:-In a renewal process, the inter arrival times between successive renewals are
A:-Independent random variables
B:-Independent and identically distributed random variables
C:-Exponential random variables
D:-Poisson random variables
Correct Answer:- Option-B
Question56:-A Matkov chain *{X_(n)}° on states 0, 1, 2 has transition probability matrix
*[{[0*1,0*2,0*7],[0*2,0*2,0*6],[0*6,0*1,0*3]]’. Then *P(X_(3)=1|X_(1)=0)=___*

D:-None of these
Correct Answer:- Option-B
Question57:-Which of the following gives the explanatory power of a regression model ?
A:-coefficient of determination
:-estimates of the regression parameters
C:-interval estimates of regression parameters
D:-variance of model error
Correct Answer:- Option-A
Question58:-While fitting a regression model with 10 regression parameters including intercept with a sample of size 100,
the sum of squares of residual errors is obtained as 270. Then an unbiased estimate of model error variance is.
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‎B:-3
‎C:-27
‎D:-None of these
Correct Answer:- Option-B
Question59:-The weighted sum of residuals with fitted values of response variable as weight is
A:-zero always
B:-one always
C:-either zero or one
D:-none of the above
Correct Answer:- Option-A
Question60:-Variance inflation factor is generally used to identify
A:-normality of errors
B:-homoscedasticity
C:-multicollinearity
D:-serial correlation of error terms
Correct Answer:- Option-C
Question61:-Durbin Watson test is generally used for
A:-identifying outliers
:-identifying non-constant error variance
lentifying autocorrelation of error terms
D:-checking normality of model error terms
Correct Answer:- Option-C

Question62:-In a simple regression model with intercept, what is the distribution of the OLS estimate of slope parameter, if n
is the sample size ?

A:-Standard normal

B:-F with (n, 2) df
C:-Student's with (n — 1) df
D:-None of these

Correct Answer:- Option-D

Question63:-Which of the following method is used to investigate the contribution of a subset of the regressors to the model
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