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 6 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( 21 6 b. If one of the trials is randomly chosen, find the probability that it lasted at least 18 days. 0.6915 c. If one of the trials is randomly chosen, find the probability that it lasted between 23 and 28 days. d. 79% of all of these types of trials are completed within how many days? (Please enter a whole number)

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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 21 days and a standard deviation of 6 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( 21
b. If one of the trials is randomly chosen, find the probability that it lasted at least 18 days.
0.6915
c. If one of the trials is randomly chosen, find the probability that it lasted between 23 and 28 days.
d. 79% of all of these types of trials are completed within how many days? (Please enter a whole
number)
Transcribed Image Text: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 6 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( 21 b. If one of the trials is randomly chosen, find the probability that it lasted at least 18 days. 0.6915 c. If one of the trials is randomly chosen, find the probability that it lasted between 23 and 28 days. d. 79% of all of these types of trials are completed within how many days? (Please enter a whole number)
Expert Solution
Step 1

Mean :

The mean is the average of all the numbers.

Standard deviation : 

The Standard Deviation is a measure of how the numbers are spread out.

Trial :

A particular performance of a random experiment is called as trial.

given :

mean = 21 

standard deviation = 6

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