Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( ? , ? ) b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days. ? c. If one of the trials is randomly chosen, find the probability that it lasted between 22 and 28 days. ?

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( ? , ? ) b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days. ? c. If one of the trials is randomly chosen, find the probability that it lasted between 22 and 28 days. ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N( ? , ? )

b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days. ?

c. If one of the trials is randomly chosen, find the probability that it lasted between 22 and 28 days. ?

Expert Solution