An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?

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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An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male
passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally
distributed with a mean of 180 lb and a standard deviation of 36 lb.
we this
O Bi
40
6
View an example
Y
a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb.
b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb.
c. What do you conclude about the safety of this elevator?
H
a. The probability that 1 randomly selected adult male has a weight greater than 146 lb ist
(Round to four decimal places as needed.)
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Transcribed Image Text:K An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. we this O Bi 40 6 View an example Y a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator? H a. The probability that 1 randomly selected adult male has a weight greater than 146 lb ist (Round to four decimal places as needed.) & 4- 7 U Get more help. J 00 이 8 - 144 ( K 9 O ► 11 L O. AA P Clear all { [ + Check answer 59°F Mostly cloudy prt sc 4 1 backspace Incorrect: 0 Actate Windows ot Settings to activate Windows. A home num 00 lock 4) (?) H 11:59 AM 10/14/2022 end 7 home 1 星
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