In basketball, the top free throw shooters usually have a probability of about 0.90 of making any given free throw. Over the course of a season, one such player shoots 380 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. μ= 342 (Type an integer or a decimal.) o= 5.848 (Round to three decimal places as needed.) b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall, if p = 0.90? The number of free throws made would almost certainly fall between 324 and 360. (Use ascending order. Round to the nearest integer as needed.) c. Within what range would the proportion of free throws made be expected to fall? and The proportion of free throws made would almost certainly fall between (Use ascending order. Round to two decimal places as needed.)
In basketball, the top free throw shooters usually have a probability of about 0.90 of making any given free throw. Over the course of a season, one such player shoots 380 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. μ= 342 (Type an integer or a decimal.) o= 5.848 (Round to three decimal places as needed.) b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall, if p = 0.90? The number of free throws made would almost certainly fall between 324 and 360. (Use ascending order. Round to the nearest integer as needed.) c. Within what range would the proportion of free throws made be expected to fall? and The proportion of free throws made would almost certainly fall between (Use ascending order. Round to two decimal places as needed.)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:In basketball, the top free throw shooters usually have a probability of about 0.90 of making any given free throw.
Over the course of a season, one such player shoots 380 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.
μ= 342 (Type an integer or a decimal.)
o= 5.848 (Round to three decimal places as needed.)
b. By the normal distribution approximation, within what range would the number of free throws made almost certainly
fall, if p = 0.90?
The number of free throws made would almost certainly fall between 324 and 360.
(Use ascending order. Round to the nearest integer as needed.)
c. Within what range would the proportion of free throws made be expected to fall?
The proportion of free throws made would almost certainly fall between
(Use ascending order. Round to two decimal places as needed.)
and
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