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## Homework Statement

The weight of eggs produced by a certain type of hen varies according to a distribution that is approximately normal with mean 6.5 grams and standard deviation 2 grams.What is the probability that the average of a random sample of the weights of 25 eggs will be less than 6 grams

## Homework Equations

P(X<6)=P((6-6.5)/σ)

## The Attempt at a Solution

- The part I can't figure out is how to arrive at sigma. This is a problem from a practice exam, so I already know that sigma is 0.40. If I'm understanding correctly, then that would make V(X) = 4/25. I just can't figure out how to arrive at these conclusion from the data that is given. I'm pretty stumped.
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