A ski gondola caries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 202 ib and a standard deviation of 45 lb. The gondola ha for a load limit of 3750 b. Complete parts (a) through (d) below. a Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 150b. (Type an integer or a decimal. Do not round.) b. the gondola is filed with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.)
A ski gondola caries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 202 ib and a standard deviation of 45 lb. The gondola ha for a load limit of 3750 b. Complete parts (a) through (d) below. a Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 150b. (Type an integer or a decimal. Do not round.) b. the gondola is filed with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Transcribed Image Text:A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 202 lb and a standard deviation of 45 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated
for a load limit of 3750 lb. Complete parts (a) through (d) below.
a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers?
The maximum mean weight is 150 ib.
(Type an integer or a decimal. Do not round.)
b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)?
The probability is
(Round to four decimal places as needed.)
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