D:-Neither paired nor correlated

Correct Answer:- Option-C
Question80:-With usual notations, the criterion for acceptance in SPRT is

A:- lambda_m <= ((1-beta))/(alpha) ~
lambda_m >= ((1-beta))/(alpha) *

C:-‘lambda_m <=(beta)/((1-alpha)) *

D:-* lambda_m >= (beta)/((1-alpha)*

Correct Answer:- Option-C
Question81:-The Poisson process with parameter A is a renewal counting process for which the unit lifetimes have
distribution with common parameter A.

A:-Poisson

B:-Exponential

C:-Uniform

D:-Geometric

Correct Answer:- Option-B
Question82:-Let *{X_n, n = 0, 1, 2...}' be a Branching process and the corresponding offspring distribution has a pgf *P (s)
= (2)/(3) + (5+5^2)/(6) ` . Find the probability of extinction of the process

A:-0

B:-0.25

C:-0.66

D:-1

Correct Answer:- Option-D
Question83:-Let *{X_n}* be a renewal process with ‘mu = E (X_1) ‘Tim _(t->00) (M (t))/(t) = .....°

(t)/(mu) *

D:-* (mu)/(t) ‏٭‎

Correct Answer:- Option-A
00९51084: -1 ` >( । 'ऽ are independent Poisson variates with respective parameters ‘lambda_i’, for ‘i= 1, 2, ...k’, then the
conditional distribution of *X_1, X_2,... X_k’ given their sum ‘sum_(i=1)*k X_i=n isa distribution with
parameters and :

A:-Binomial with parameters “ന്‌ and * (1)/(k)*

B:-Binomial with parameters *k* and *(1)/(n)*

C:-Multinomial with parameters ‘n* and *(1)/(k)°

D:-Multinomial with parameters *k’ and *(1)/(n)°

Correct Answer:- Option-C
Question85:-If * (X_1, X_2)° is a Bivariate normal random vector with parameters ‘(mu_{X1}, mu_{X2}, sigma *2_X_1,
sigma*2_X_2, rho’), when ‘sigma*2_X_1 = sigma*2_X_2 * and ‘rho = 0° , the density function is called

A:-Elliptical Normal

B:-Circular Normal

C:-Symmetrical Normal

D:-Uniform Normal

Correct Answer:- Option-B
Question86:-If the random vector *X* follows Multivariate Normal distribution with mean vector 0 and dispersion matrix *I°
and ‘Q i= X*'A_iX* are quadratic forms of rank ‘r_i* such that ‘sum_(i=1)*k A_i = |_p’ , then a necessary and sufficient
condition णि ` 0 i's to be distributed as independent chi-square random variables with ‘r_i* d.f is that

0:-` 5017) (= 1) ^| 1 ।
Correct Answer:- Option-B

Question87:-The relationship between partial correlation coefficients ‘r_{ij.k}, multiple correlation

coefficients ‘R_{i.jk}’ and simple correlation coefficients ‘r_{ij}* is

As र^2. 1.23 = 1+ (1-1^2 12) (1 -1^2. 13.2)

९^2. 1.23 = 1 - (1- 1^2. 12) (1-1^2. 13.2)`

௦852 1.23 - 14 (1752 1)/ (1-7^2. 13.2)`

0; 852 1.23 - 1. (175212) / 1-7213”

Correct Answer:- Option-B

Question88:-Hotelling's *T*2° statistic and Mahalnobis ‘D*2° statistic are connected by the relationship