The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that a sheet selected at random from the population is between 29.75 and 30.5 inches long?
A).4332
B).4878
C).0546
D).9210

Question

Quizplus · Accepted Answer

The probability can be found by calculating the z-scores for 29.75 and 30.5, then finding the area between these z-scores in the standard normal distribution. The z-score for 29.75 is (29.75 - 30.05) / 0.2 = -1.5, and for 30.5 is (30.5 - 30.05) / 0.2 = 2.25. The area between these z-scores corresponds to a probability of approximately 0.9210.

The Population of Lengths of Aluminum-Coated Steel Sheets Is Normally