In basketball, the top free throw shooters usually have a probability of about 0.85 of making any given free throw. Over the course of a season, one such player shoots 500 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion made be expected to fall?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In basketball, the top free throw shooters usually have a probability of about 0.85 of making any
given free throw. Over the course of a season, one such player shoots 500 free throws.
a. Find the mean and standard deviation of the probability distribution of the number of free
throws he makes.
b. By the normal distribution approximation, within what range would the number of free throws
made almost certainly fall? Why?
c. Within what range would the proportion made be expected to fall?
a. Find the mean and standard deviation of the probability distribution of the number of free
throws he makes.
H = 425 (Type an integer or a decimal.)
6= (Round to three decimal places as needed.)
example Get more help.
tv
Clear all
Check answer
A
510
1
O
C
G
Transcribed Image Text:In basketball, the top free throw shooters usually have a probability of about 0.85 of making any given free throw. Over the course of a season, one such player shoots 500 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion made be expected to fall? a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. H = 425 (Type an integer or a decimal.) 6= (Round to three decimal places as needed.) example Get more help. tv Clear all Check answer A 510 1 O C G
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