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)
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec7d0b78-7026-4f2e-9cd3-9f6affde891c%2F473a9e98-32de-474f-9353-83e0744adddb%2Fz6xtaq_processed.jpeg&w=3840&q=75)
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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