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4. The weights of male basketball players on a certain collegiate basketball league are normally with a mean of 180 pounds and a standard deviation of 26 pounds. If a player is randomly selected, a)What is the probability that the player weighs less than 225 pounds? b)What is the probability that the player weighs more than 225 pounds? c)What is the probability that the randomly chosen player weighs between 180 and 225 pounds? d)What weight represents the 90th percentile of the distribution? e)Within what limits would you expect the weights to lie, with probability 95%?

4. The weights of male basketball players on a certain collegiate basketball league are normally with a mean of 180 pounds and a standard deviation of 26 pounds. If a player is randomly selected, a)What is the probability that the player weighs less than 225 pounds? b)What is the probability that the player weighs more than 225 pounds? c)What is the probability that the randomly chosen player weighs between 180 and 225 pounds? d)What weight represents the 90th percentile of the distribution? e)Within what limits would you expect the weights to lie, with probability 95%?

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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4. The weights of male basketball players on a certain collegiate basketball league are normally with a mean of 180 pounds and a standard deviation of 26 pounds. If a player is randomly selected, a)What is the probability that the player weighs less than 225 pounds? b)What is the probability that the player weighs more than 225 pounds? c)What is the probability that the randomly chosen player weighs between 180 and 225 pounds? d)What weight represents the 90th percentile of the distribution? e)Within what limits would you expect the weights to lie, with probability 95%?
Transcribed Image Text:4. The weights of male basketball players on a certain collegiate basketball league are normally with a mean of 180 pounds and a standard deviation of 26 pounds. If a player is randomly selected, a)What is the probability that the player weighs less than 225 pounds? b)What is the probability that the player weighs more than 225 pounds? c)What is the probability that the randomly chosen player weighs between 180 and 225 pounds? d)What weight represents the 90th percentile of the distribution? e)Within what limits would you expect the weights to lie, with probability 95%?
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