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 more than 2.50 ounces?
A).9525
B).4525
C).0475
D).5474

Question

Quizplus · Accepted Answer

To solve this problem, we need to standardize the value of 2.50 ounces using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (2.50 - 2.25) / 0.15 = 1.67

Then, we need to find the probability of a standard normal distribution having a z-score greater than 1.67. Using a standard normal distribution table or calculator, we find that this probability is approximately 0.0475.

Therefore, the answer is choice C, 0.0475 or 4.75%.

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