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 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 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 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![**Text Transcription:**
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 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.
b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days.
[ ]
**Explanation:**
The problem is about finding the probability of a normally distributed random variable. In this scenario, the duration of a criminal trial is normally distributed with a mean (μ) of 21 days and a standard deviation (σ) of 5 days. The task is to calculate the probability that a randomly selected trial lasts at least 22 days.
To solve this, you would typically use the properties of the normal distribution, often involving the calculation of a Z-score and consulting a standard normal distribution table, or using statistical software for precise values.
No graphs or diagrams are present in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F809fed12-76be-4031-b073-a6df25900b4a%2F81479b48-9535-46a0-a883-3f565466eafb%2Fgavfyd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription:**
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 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.
b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days.
[ ]
**Explanation:**
The problem is about finding the probability of a normally distributed random variable. In this scenario, the duration of a criminal trial is normally distributed with a mean (μ) of 21 days and a standard deviation (σ) of 5 days. The task is to calculate the probability that a randomly selected trial lasts at least 22 days.
To solve this, you would typically use the properties of the normal distribution, often involving the calculation of a Z-score and consulting a standard normal distribution table, or using statistical software for precise values.
No graphs or diagrams are present in the image.
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