SOLUTION: The weight of the eggs produced by a certain breed of hen is Normally distributed with a mean of 65 grams and a standard deviation of 5 grams. Calculate the probability that a r

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Question 728379: The weight of the eggs produced by a certain breed of hen is Normally distributed with a mean of 65 grams and a standard deviation of 5 grams.
Calculate the probability that a randomly selected egg weighs between 62.5g and 68.75g. Show your work.
My work:
Dont you need a population of how many eggs are produced by a hen before you start the equation? If not, how do I do this?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The weight of the eggs produced by a certain breed of hen is Normally distributed with a mean of 65 grams and a standard deviation of 5 grams.
Calculate the probability that a randomly selected egg weighs between 62.5g and 68.75g. Show your work.
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z(62.5) = (62.5-65)/5 = -0.50
z(68.75) = (68.75-65)/5 = 0.75
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P(0.62.5<= x <=68.75) = P(-0.5<= z <=0.75) = 0.4649
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Cheers,
Stan H.
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