Question

A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.8 eggs with a standard deviation of 0.4 eggs. You buy 3 dozen eggs without checking them.

A) what is the expected number of broken eggs?

B) what is the standard deviation?

Answer 1

A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.8 eggs with a standard deviation of 0.4 eggs. You buy 3 dozen eggs without checking them.

A) what is the expected number of broken eggs?

B) what is the standard deviation?

Let us consider X and Y as two distribution, we known that

Addition of mean of two distribution that are independent is ( mean is the expected value represented by E)

E(W) = E(X) + E(Y)

And the the addition of variance is

Var(W) = Var(X) + Var(Y)

But Standard deviation is

In this problem we given for dozen,

mean = E(X) = 0.8
standard deviation = SD(X)=0.4

Hence the expected value of eggs broken out of 3 dozens is

Standard deviation