The speeds of all pitches thrown by the IRSC softball team are normally distributed with a mean of 69 miles per hour and a standard deviation of 3 miles per hour. Determine the probability that a randomly selected pitch has a speed of more than 60 miles per hour. Round the solution to four decimal places, if necessary. P(x > 60)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Problem Statement:**

The speeds of all pitches thrown by the IRSC softball team are normally distributed with a mean of 69 miles per hour and a standard deviation of 3 miles per hour. Determine the probability that a randomly selected pitch has a speed of more than 60 miles per hour. Round the solution to four decimal places, if necessary.

\( P(x > 60) = \) [Answer Box]

**Explanation:**

This problem involves calculating the probability for a normally distributed variable, where the mean speed of the pitches is given as 69 mph, and the standard deviation is 3 mph. You are asked to find the probability that a pitch exceeds 60 mph.

To solve this, you'll need to use the properties of the normal distribution and possibly a z-table or technology that provides the cumulative distribution function (CDF) for standard normal distributions.
Transcribed Image Text:**Problem Statement:** The speeds of all pitches thrown by the IRSC softball team are normally distributed with a mean of 69 miles per hour and a standard deviation of 3 miles per hour. Determine the probability that a randomly selected pitch has a speed of more than 60 miles per hour. Round the solution to four decimal places, if necessary. \( P(x > 60) = \) [Answer Box] **Explanation:** This problem involves calculating the probability for a normally distributed variable, where the mean speed of the pitches is given as 69 mph, and the standard deviation is 3 mph. You are asked to find the probability that a pitch exceeds 60 mph. To solve this, you'll need to use the properties of the normal distribution and possibly a z-table or technology that provides the cumulative distribution function (CDF) for standard normal distributions.
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