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.

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Chapter1: Combinatorial Analysis
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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 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.
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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