MCQs of Some special Probability Distributions (Probability and Statistics - 3130006)

Probability and Statistics (3130006) MCQs

MCQs of Some special Probability Distributions

Showing 11 to 20 out of 35 Questions

11.

λ is _______ of the poisson distribution.

(a)	mean
(b)	mode
(c)	S.D.
(d)	none of the above

12.

In poisson distribution mean ___ variance.

(a)	$\neq$
(b)	=
(c)	<
(d)	>

13.

Suppose a book of 585 pages contains 43 typographical errors. If these errors are randomly distributed throughout the book, what is the probability that 10 pages, selected at random, will be free from error?

(a)	0.9795
(b)	0.7795
(c)	0.4795
(d)	0.1795

14.

100 Electric bulbs are found to be defective in a lot of 5000 bulbs. What is probability that at the most 3 bulbs are defective in a box of 100 bulbs?

(a)	0.2571
(b)	0.4571
(c)	0.6571
(d)	0.8571

15.

For Poisson variant X, if P(X=3)=P(X=4), then P(X=0)=_______.

(a)	$e^{- 1}$
(b)	$e^{- 2}$
(c)	$e^{- 3}$
(d)	$e^{- 4}$

16.

If probability density function is given by $f (X = x) = \{\begin{cases} 0 \cdot e^{- 0 x}; & x \geq 0 \\ 0; & e l s e \end{cases}$ , then a random variable $X$ is said to have _______ distribution.

(a)	binomial
(b)	poisson
(c)	exponential
(d)	gamma

17.

In exponential distribution $\frac{1}{θ} =$ _______.

(a)	mean
(b)	variance
(c)	mode
(d)	median

18.

In exponential distribution Variance = _______.

(a)	$\frac{1}{θ}$
(b)	$\frac{1}{θ^{2}}$
(c)	$θ$
(d)	$θ^{2}$

19.

In exponential distribution $P (X \leq x) =$ _______.

(a)	$e^{- 0 x}$
(b)	$e^{- 0 x} - 1$
(c)	$1 - e^{- 0 x}$
(d)	none of the above

20.

The time between breakdowns of a particular machine follows an exponential distribution with a mean of 17 days. What is probability that a machine breakdown in 15-day period?

(a)	0.5862
(b)	1.8622
(c)	0.2622
(d)	none of the above

Showing 11 to 20 out of 35 Questions