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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 5 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 14 days.?  c. If one of the trials is randomly chosen, find the probability that it lasted between 16 and 21 days. ? d. 61% of all of these types of trials are completed within how many days? (Please enter a whole number) ?

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 5 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 14 days.?  c. If one of the trials is randomly chosen, find the probability that it lasted between 16 and 21 days. ? d. 61% of all of these types of trials are completed within how many days? (Please enter a whole number) ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 5 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 14 days.? 

c. If one of the trials is randomly chosen, find the probability that it lasted between 16 and 21 days. ?

d. 61% of all of these types of trials are completed within how many days? (Please enter a whole number) ?

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