If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 66.9 and standard deviation 2.91, what is the probability that a randomly chosen golfer's score is above 64 strokes?
If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 66.9 and standard deviation 2.91, what is the probability that a randomly chosen golfer's score is above 64 strokes?
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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Can you show how you would solve using a Ti-84 calculator please
![**Question:**
If the scores per round of golfers on the PGA tour are approximately normally distributed with a mean of 66.9 and a standard deviation of 2.91, what is the probability that a randomly chosen golfer's score is above 64 strokes?
**Explanation:**
This problem involves a normal distribution of golfers' scores and requires calculating the probability of a score being above a certain value. Here, we are given:
- Mean (μ) = 66.9
- Standard Deviation (σ) = 2.91
To find the probability of a score above 64, we'll use the Z-score formula:
\[ Z = \frac{(X - \mu)}{\sigma} \]
Where \( X \) is the score we're interested in (64 strokes).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dec026f-5294-4aa9-bb82-e08106845372%2F72245fa6-e5fb-4314-8c7b-96ae2c1a9ded%2F0zr1n8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
If the scores per round of golfers on the PGA tour are approximately normally distributed with a mean of 66.9 and a standard deviation of 2.91, what is the probability that a randomly chosen golfer's score is above 64 strokes?
**Explanation:**
This problem involves a normal distribution of golfers' scores and requires calculating the probability of a score being above a certain value. Here, we are given:
- Mean (μ) = 66.9
- Standard Deviation (σ) = 2.91
To find the probability of a score above 64, we'll use the Z-score formula:
\[ Z = \frac{(X - \mu)}{\sigma} \]
Where \( X \) is the score we're interested in (64 strokes).
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