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2. Suppose golfer Michelle Wie has an average driving distance of 269.1 yards, with a standard deviation of 13.8 yards, and that the distribution of her driving distances can be modeled by a Normal distribution. a) Draw and label a Normal model with 1, 2, and 3 standard deviations above and below the mean. b) About what percentage of her drives will go more than 260 yards? c) About what percentage of her drives will go between 265 and 275 yards? d) What would be the distance of the longest 5% of her drives?

2. Suppose golfer Michelle Wie has an average driving distance of 269.1 yards, with a standard deviation of 13.8 yards, and that the distribution of her driving distances can be modeled by a Normal distribution. a) Draw and label a Normal model with 1, 2, and 3 standard deviations above and below the mean. b) About what percentage of her drives will go more than 260 yards? c) About what percentage of her drives will go between 265 and 275 yards? d) What would be the distance of the longest 5% of her drives?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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PLEASE i need serious help with number 2&3 please help with both write the answer clear and easy to understand please
2. Suppose golfer Michelle Wie has an average driving distance of 269.1 yards, with a standard deviation of 13.8 yards, and that the distribution of her driving distances can be modeled by a Normal distribution. a) Draw and label a Normal model with 1, 2, and 3 standard deviations above and below the mean. b) About what percentage of her drives will go more than 260 yards? c) About what percentage of her drives will go between 265 and 275 yards? d) What would be the distance of the longest 5% of her drives? 3. Suppose that pitcher Zach Greinke throws his fastball with an average speed of 94 mph and a standard deviation of 2 mph, and that the distribution of his fastball speeds can be modeled by a Normal distribution. a) About what proportion of his fastballs will travel over 100 mph? b) About what proportion of his fastballs will travel between 93 and 95 mph? c) What would be the speed of the fastest 10% of his fastballs?
Transcribed Image Text:2. Suppose golfer Michelle Wie has an average driving distance of 269.1 yards, with a standard deviation of 13.8 yards, and that the distribution of her driving distances can be modeled by a Normal distribution. a) Draw and label a Normal model with 1, 2, and 3 standard deviations above and below the mean. b) About what percentage of her drives will go more than 260 yards? c) About what percentage of her drives will go between 265 and 275 yards? d) What would be the distance of the longest 5% of her drives? 3. Suppose that pitcher Zach Greinke throws his fastball with an average speed of 94 mph and a standard deviation of 2 mph, and that the distribution of his fastball speeds can be modeled by a Normal distribution. a) About what proportion of his fastballs will travel over 100 mph? b) About what proportion of his fastballs will travel between 93 and 95 mph? c) What would be the speed of the fastest 10% of his fastballs?
Expert Solution
Step 1

X~N( μ = 269.1  , ? = 13.8)


μ = 269.1 , ? = 13.8


Z-score =( x - μ )/?

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