Exhibit 6-7
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
-Refer to Exhibit 6-7. What is the probability that a randomly selected item will weigh more than 10 ounces?
A)0.3413
B)0.8413
C)0.1587
D)0.5000

Question

Quizplus · Accepted Answer

To find the probability that a randomly selected item weighs more than 10 ounces, calculate the z-score: z = (10 - 8) / 2 = 1. Using the standard normal distribution table, the probability of z being less than 1 is 0.8413. Therefore, the probability of z being more than 1 is 1 - 0.8413 = 0.1587.

Exhibit 6-7 The Weight of Items Produced by a Machine Is Normally