Aparticular sale involves four items randomly selected from
alarge lot that is known to contain 10% defectives. let y denote
thenumber of defectives among the four sold. the purchaser of
theitems will return the defectives for repair, and the repair cost
isgiven by c = 3y^2 + y + 2. find the expected repair cost.

The expected repair cost is 3.96.

Step-by-step explanation:

Given :A particular sale involves four items randomly selected from  a large lot that is known to contain 10% defectives.

The purchaser of  the items will return the defectives for repair, and the repair cost  is given by

To Find : Find the expected repair cost.

Solution:

We are given that A particular sale involves four items randomly selected from  a large lot that is known to contain 10% defectives.

So, The probability of item being defected = 0.10

Let Y denote  the number of defectives among the four sold.

It follows the binomial distribution.

n = 4 , p =0.10

Now we know that

Now we are given an equation that represents the repair cost

So, Expected repair cost =

Hence the expected repair cost is 3.96.

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