## Probability Analysis of Heights in a Study GroupIn a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.1 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below.### (a) Probability of Height Less Than 67 InchesFind the probability that a study participant has a height that is less than 67 inches.The probability that the study participant selected at random is less than 67 inches tall is _____. (Round to four decimal places as needed.)### (b) Probability of Height Between 67 and 71 InchesFind the probability that a study participant has a height that is between 67 and 71 inches.The probability that the study participant selected at random is between 67 and 71 inches tall is _____. (Round to four decimal places as needed.)### (c) Probability of Height More Than 71 InchesFind the probability that a study participant has a height that is more than 71 inches.The probability that the study participant selected at random is more than 71 inches tall is _____. (Round to four decimal places as needed.)### (d) Identifying Unusual EventsIdentify any unusual events. Explain your reasoning. Choose the correct answer below.- A. The events in parts (a) and (c) are unusual because their probabilities are less than 0.05.- B. There are no unusual events because all the probabilities are greater than 0.05.- C. The event in part (a) is unusual because its probability is less than 0.05.- D. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.

Given: Consider a random variable X denotes the height of study participant. mean = 68.1 inches…

Answered: (a) Find the probability that a study…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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