An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state.The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. What is the probability that a randomly selected apple will contain between 2.00 and 3.00 ounces?
A).0475
B).4525
C).9525
D).9554

Question

Quizplus · Accepted Answer

The probability can be found using the standard normal distribution. First, calculate the z-scores for 2.00 and 3.00 ounces. For 2.00 ounces, z = (2.00 - 2.25) / 0.15 = -1.67. For 3.00 ounces, z = (3.00 - 2.25) / 0.15 = 5.00. Using a standard normal distribution table, the probability of z being between -1.67 and 5.00 is approximately 0.9525.

An Apple Juice Producer Buys All His Apples from a Conglomerate