Calculate the probability that a randomly selected egg weighs between 62.5 g and 68.75 g. Show your work.

Step-by-step explanation:

Since the overall 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.

That gives us:

(62.5) = (62.5 - 65) / 5 = - 0.50

(68.75) = (68.75 - 65) / 5 = 0.75

Probability (0.62.5< = x <=68.75)

= Probability (-0.5< = z <=0.75)

= 0.4649