A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 198lb and a standard deviation of 42lb. 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 150lb. (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 ?
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 198lb and a standard deviation of 42lb. 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 150lb. (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 ?
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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A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 198lb and a standard deviation of 42lb. 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
150lb.
(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 ?
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 198 lb and a standard deviation of
42 lb. The gondola has a stated capacity of 25 passengers, and the gondola is
rated for a load limit of 3750 Ib. 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 lb.
(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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