Question

A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.6 eggs with a standard deviation of 0.3 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

Answer:

(a) 1.8 eggs

(b) 0.52 eggs

Step-by-step explanation:

According to the problem, computation of the given data are as follows:

The mean number of broken eggs in a dozen E(X) = 0.6

Standard deviation SD(X) = 0.3

(a). For 3 dozen eggs, number of broken eggs can be calculated by using following formula,

E(X) for 3 dozen = 3 × 0.6

= 1.8 eggs

(b). Standard deviation for 3 dozen can be calculated as follows,

SD (X) = ×$\sqrt{3* (0.3)^{2}$

= $\sqrt{27}$$\sqrt{27}$

= 0.52 eggs