Question

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 18 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. If one of the trials is randomly chosen, find the probability that it lasted at least 16 days. b. If one of the trials is randomly chosen, find the probability that it lasted between 17 and 23 days.

Name: suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 18 days and a standard deviation of 5 days let x be the number of days for a randoml
Uploaded: 2023-08-20T23:01:55-08:00
Duration: 2 min 23 s
Channel: James Kiss
Description: suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 18 days and a standard deviation of 5 days let x be the number of days for a randoml

          Suppose that the duration of a particular type of criminal trial
is known to be normally distributed with a mean of 18 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. If one of the trials is randomly chosen, find the probability
that it lasted at least 16 days. 
b. If one of the trials is randomly chosen, find the probability
that it lasted between 17 and 23 days.

Added by Patrick N.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert James Kiss

08/20/2023

Step 1

The z-score formula is: z = (X - μ) / σ where X is the value, μ is the mean, and σ is the standard deviation. a. For a trial lasting at least 16 days, we need to find the z-score for 16 days: z = (16 - 18) / 5 = -2 / 5 = -0.4 Now, we need to find the Show more…

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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 18 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. If one of the trials is randomly chosen, find the probability that it lasted at least 16 days. b. If one of the trials is randomly chosen, find the probability that it lasted between 17 and 23 days.