Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 16 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 15 days. c. If one of the trials is randomly chosen, find the probability that it lasted between 18 and 21 days. d. 64% of all of these types of trials are completed within how many days? (Please enter a whole number) Hint:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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 16 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 15 days.
c. If one of the trials is randomly chosen, find the probability that it lasted between 18 and 21 days.
d. 64% of all of these types of trials are completed within how many days? (Please enter a whole number)
Hint:
Helpful videos:
• Find a Probability [+]
• Finding a Value Given a Probability [+]
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Question Help: Message instructor
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Transcribed Image Text:Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 16 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 15 days. c. If one of the trials is randomly chosen, find the probability that it lasted between 18 and 21 days. d. 64% of all of these types of trials are completed within how many days? (Please enter a whole number) Hint: Helpful videos: • Find a Probability [+] • Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question logi 3 F6 F3 90
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