The masses of chicken eggs may be taken to be normally distributed with a mean of 60 g and a standard deviation of 18 g. Eggs are classified as "small", "standard" and "large" according to their masses. Eggs with a mass of less than 48 g are classified 6. as "small". Find the probability that a randomly chosen egg has a mass between 50 g and 70 g. a) b) Find the proportion of eggs which are classified as "small". c) It is desired that the proportions of "standard" and "large" eggs are equal. Find the boundary value of the mass which separates the "standard" from "large".

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The masses of chicken eggs may be taken to be normally distributed with a mean of
60 g and a standard deviation of 18 g. Eggs are classified as "small", "standard" and
"large" according to their masses. Eggs with a mass of less than 48 g are classified
as "small".
6.
Find the probability that a randomly chosen egg has a mass between 50 g and
70 g.
a)
b)
Find the proportion of eggs which are classified as "small".
c)
It is desired that the proportions of "standard" and "large" eggs are equal. Find
the boundary value of the mass which separates the "standard" from "large".
Transcribed Image Text:The masses of chicken eggs may be taken to be normally distributed with a mean of 60 g and a standard deviation of 18 g. Eggs are classified as "small", "standard" and "large" according to their masses. Eggs with a mass of less than 48 g are classified as "small". 6. Find the probability that a randomly chosen egg has a mass between 50 g and 70 g. a) b) Find the proportion of eggs which are classified as "small". c) It is desired that the proportions of "standard" and "large" eggs are equal. Find the boundary value of the mass which separates the "standard" from "large".
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