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Binomial ad Poisson Distribution

Total questions: 8

Worksheet time: 13mins

Name
Class
Date
1.

At a certain restaurant, there is a 70% probability that the flowers on your table will be yellow. If you are there with a group that is occupying 6 tables, what is the probability that 5 of the tables will have yellow flowers?

a)

70%

b)

70.6 %

c)

30.3 %

d)

5.0 %

2.

The random variable, X has the binomial distribution X~B(9,0.25), find P(X=4)

a)

0.1657

b)

0.1168

c)

0.2336

d)

0.3504

3.

The random variable Y has binomial distribution Y~B(10,0.4). Find P(3<Y<6)

a)

0.6665

b)

0.7779

c)

0.4515

d)

0.2508

4.

If X~Po(1.8), find P(2≤X≤4)

a)

0.4285

b)

0.7983

c)

0.5008

d)

0.7260

5.

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

a)

5

b)

0

c)

4

d)

6

6.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

7.

Find the variance of a binomial distribution with 50 trials and p= 0.4

a)

12

b)

15

c)

10

d)

20

8.

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2