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?

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Mathematics

6 May, 13:44

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?

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Roberto · Answer 1

a) expected number of broken eggs is 1.8 eggs

b) the standard deviation is 0.9 eggs.

Step-by-step explanation:

If X is a variable from a distribution with mean M and standard deviation s, then

the distribution of c*X has the mean c*M and standard deviation c*s.

Therefore 3 dozen eggs has expected number of 3*0.6=1.8 broken eggs and

standard deviation of 3*0.3=0.9 eggs.