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

Probability and Statistics (3130006) MCQs

MCQs of Some special Probability Distributions

Showing 21 to 30 out of 35 Questions

21.

The lifetime T of an alkaline battery is exponentially distributed with θ=0.05 per hour. What are mean and standard deviation of batteries lifetime?

(a)	10,20
(b)	20,20
(c)	20,10
(d)	10,10

22.

The arrival rate of cars at a gas station is 40 customers per hour. What is the probability of having no arrivals in 5 min. interval?

(a)	1.0356
(b)	0.0356
(c)	2.0356
(d)	3.0356

23.

A random variable has an exponential distribution with probability density function given by $f (x) = \{\begin{cases} 3 e^{- 3 x}; & x > 0 \\ 0; & x \leq 0 \end{cases}$ . What is the probability that X is not less than 4?

(a)	$e^{12}$
(b)	$e^{6}$
(c)	$e^{- 6}$
(d)	$e^{- 12}$

24.

In gamma distribution mean = _______.

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

25.

in gamma distribution variance = _______.

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

26.

For positive non-integer n , $Γ (n) =$ _______.

(a)	$(n - 1)!$
(b)	$n \cdot (n - 1)!$
(c)	$Γ (n - 1)$
(d)	$(n - 1) Γ (n - 1)$

27.

Given a gamma random variable X with r=3 and θ=2. $V (X) =$ _______.

(a)	1
(b)	0.75
(c)	0.5
(d)	0.25

28.

The time spent on a computer is a gamma distribution with mean 20 and variance 80. (a) What is value of r?

(a)	1
(b)	3
(c)	5
(d)	7

29.

In normal distribution for any $z_{1} > 0$ , $P (- z_{1} < z < 0)$ _______ $P (0 < z < z_{1})$ .

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

30.

If $μ = 6000, σ = 100$ then for $x = 6250$ , the value of $z$ is _______.

(a)	6.5
(b)	4.5
(c)	2.5
(d)	0.5

Showing 21 to 30 out of 35 Questions