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

Question

Quizplus · Accepted Answer

To find the probability, we need to standardize the random variable using the formula z = (x - μ) / σ, where x = 2.5, μ = 2.25, and σ = 0.15. Thus, z = (2.5 - 2.25) / 0.15 = 1.67. We then look up the probability of a standard normal distribution for z > 1.67, which is approximately 0.0475. Therefore, the probability that a randomly selected apple will contain more than 2.50 ounces is 0.0475 or 4.75%, so the best choice is C.

An Apple Juice Producer Buys All His Apples from a Conglomerate