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

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) (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.
---------------------------
z(62.5) = (62.5-65)/5 = -0.50
z(68.75) = (68.75-65)/5 = 0.75
------------
P(0.62.5<= x <=68.75) = P(-0.5<= z <=0.75) = 0.4649
====================================
Cheers,
Stan H.
======================
RELATED QUESTIONS
the weight of a small starbucks coffee is a normally distributed random variable with a... (answered by ikleyn)

A manufacturer makes chocolate bars with a mean weight of 110 grams and a standard... (answered by stanbon)

The fill weight of a certain brand of adult cereal is normally distributed with a mean of (answered by stanbon)

The fill weight of a certain brand of adult cereal is normally distributed with a mean of (answered by Boreal)

The incubation time for a breed of chicks is normally distributed with a mean of 24 days... (answered by fsdf)

Birth weights are normally distributed with a mean weight of 3285 grams and a standard... (answered by stanbon)

The weight of food packed in a certain container is normally distributed with a mean of... (answered by stanbon)

The weight, in grams, of the pair of kidneys in adult males between the ages of 40 and 49 (answered by Boreal)

The amount of fill (weight of contents) put into a glass jar of spaghetti sauce is... (answered by rothauserc)