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) = ×[tex]\sqrt{3* (0.3)^{2}[/tex]
= [tex]\sqrt{27}[/tex][tex]\sqrt{27}[/tex]
= 0.52 eggs
