On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 424 pounds and a standard deviation of 40 pounds. The cow transport truck holds 17 cows and can hold a maximum weight of 7582. If 17 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 7582? (This is the same as asking what is the probability that their mean weight is over 446.)(Give answer correct to at least three decimal places.)probability =

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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On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 424 pounds and a standard deviation of 40 pounds. The cow transport truck holds 17 cows and can hold a maximum weight of 7582. If 17 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 7582? (This is the same as asking what is the probability that their mean weight is over 446.)

(Give answer correct to at least three decimal places.)
probability = 

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