It is known that the length of a certain product X is normally distributed with μ = 20 inches. How is the probability P(X 16) related to P(X 16) is greater than P(X 16) is smaller than P(X 16) is the same as P(X

Question

It is known that the length of a certain product X is normally distributed with μ = 20 inches. How is the probability P(X > 16) related to P(X < 16)? A) P(X > 16) is greater than P(X < 16). B) P(X > 16) is smaller than P(X < 16). C) P(X > 16) is the same as P(X < 16). D) No comparison can be made with the given information.

Quizplus · Accepted Answer

Since the distribution is symmetric around the mean of 20, the probability of being more than 4 units below the mean (P(X<16)) is smaller than the probability of being more than 4 units above the mean (P(X>16)). Therefore, P(X>16) is greater than P(X<16).

It Is Known That the Length of a Certain Product