Question

3) A large lot of pink lawn flamingos is known to contain 10% defective flamingos (insufficiently tacky). They are sold in packs of 5. If a customer complains that some of the flamingos are defective, he or she receives a check for 2X² + X, where X is the number of defective flamingos received. Compute the expected value of the size of the check for the average customer.

Answer 1

3 )

answer:

given data,

the defective flamingos is as the 10 %

the pack of the sold is 5

to find the expected value is.....

the probability is shown in the below step by step,

here we are know as the values is as the already

now we are using binomial distribution is the values is

n is 5

10/1000.10

now we are finding the

  the E ( X2 ) is

n p ( 1 - p ) + n 2p 2  

now substitute the values is in the above formula,

50.1(1-0.1)+(50.1)2

50.1 ( 0.9 ) + ( 50.1 ) /2

0.14

0.7

the E ( X ) is

np

5*0.1

0.5

  E ( 2 X 2 + X )

this are as the simplify the below

2 E ( X 2 ) + E ( X )

now substitute the above values is in the above formula

2*0.7+0.5

1.4 + 0.5

1.9

so finally the probability is 1.9

1.9