An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern 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

We need to find the probability that the amount of juice squeezed from the apple is between 2.00 and 3.00 ounces. We can use the standard normal distribution and calculate the z-scores for these values:

z1 = (2.00 - 2.25) / 0.15 = -1.67
z2 = (3.00 - 2.25) / 0.15 = 4.67

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score between -1.67 and 4.67 is approximately 0.9525. Therefore, the probability that a randomly selected apple will contain between 2.00 and 3.00 ounces of juice is 0.9525, or about 95.25%.

An Apple Juice Producer Buys All His Apples from a Conglomerate