In a recent year, the mean number of strokes per hole for a golfer was approximately 3.6. (a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is o² = μ. Interpret the results. (b) Identify the least number of strokes on a hole that you would consider unusual. Click the icon to view the table of Poisson probabilities.

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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In a recent year, the mean number of strokes per hole for a golfer was approximately 3.6.
(a)
Find the variance and standard deviation using the fact that the variance of a Poisson distribution is o² = μ. Interpret the
results.
(b) Identify the least number of strokes on a hole that you would consider unusual.
Click the icon to view the table of Poisson probabilities.
(a) The variance is.
(Type an integer or a decimal. Do not round.)
The standard deviation is
(Round to two decimal places as needed.)
Interpret the results. Choose the correct answer below.
O A. The number of strokes usually differs from the mean by no more than the standard deviation number of strokes.
OB. The number of strokes always differs from the mean by no more than the standard deviation number of strokes.
O C. The number of strokes usually differs from the standard deviation by no more than the mean number of strokes.
O D. The number of strokes is always the standard deviation number of strokes.
(b) The least number of strokes on a hole that would be considered unusual is
(Type a whole number.)
strokes.
Transcribed Image Text:In a recent year, the mean number of strokes per hole for a golfer was approximately 3.6. (a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is o² = μ. Interpret the results. (b) Identify the least number of strokes on a hole that you would consider unusual. Click the icon to view the table of Poisson probabilities. (a) The variance is. (Type an integer or a decimal. Do not round.) The standard deviation is (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. The number of strokes usually differs from the mean by no more than the standard deviation number of strokes. OB. The number of strokes always differs from the mean by no more than the standard deviation number of strokes. O C. The number of strokes usually differs from the standard deviation by no more than the mean number of strokes. O D. The number of strokes is always the standard deviation number of strokes. (b) The least number of strokes on a hole that would be considered unusual is (Type a whole number.) strokes.
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