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Some standard probability distribution

Total questions: 11

Worksheet time: 10mins

Name
Class
Date
1.

The mean and variance of the ----distribution are same as to its parameter.

a)

Bernoulli

b)

Negative Binomial

c)

Geometric

d)

Poisson

2.

Poisson is a __________ probability distribution

a)

random

b)

discrete

c)

continuous

d)

None of the above

3.

If X → P (λ), then P(x + 1) = ---------P(x)

a)

(x+1) ÷ λ\left(x+1\right)\ \ \ \div\ \lambda

b)

λ ÷ (x + 1)\lambda\ \div\ \left(x\ +\ 1\right)

c)

x ÷ λx\ \div\ \lambda

d)

λ ÷ x\lambda\ \div\ x

4.

If X~P(1.8), find P(2≤X≤4)

a)

0.4285

b)

0.7983

c)

0.5008

d)

0.7260

5.

For Poisson distribution which of the following is true?

a)

Mean =10, Variance =20

b)

Mean =20, Variance =10

c)

Mean =0, Variance=1

d)

Mean = 10, Variance = 10

6.

If X → P (λ) such that P[X=2] = (3 / 2) P[X=1], then E(X) is ------ 

a)

2

b)

3

c)

5

d)

None of these

7.

If X~P(λ) and P(X=0) = 0.0025, find λ.

a)

5

b)

0

c)

4

d)

6

8.

Poisson Formula: P(X=x)

a)
b)
c)
d)
9.

X is Poisson Distribution. Mean & Variance formula

a)
b)
c)
d)
10.

The mean number of accidents per month at a certain intersection is 3.What is the probability that in any given month exactly 4 accidents will occur at this intersection?

a)

0.081

b)

0.672

c)

0.168

d)

0.258

11.

A rv X has Poisson distribution and P[X=5] = 0.3 P[X=4], then E(X) is ---

a)

15

b)

1.5

c)

Information is incomplete.

d)

None of these