A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 194 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 nothing 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 nothing. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is nothing. (Round to four decimal places as needed.)
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 194 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 nothing 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 nothing. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is nothing. (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of
194
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
nothing
lb.(Type an integer or a decimal. Do not round.)
b. If the gondola is filled with
probability that their mean weight exceeds the value from part (a)?
25
randomly selected skiers, what is the The probability is
nothing.
(Round to four decimal places as needed.)
c. If the weight assumptions were revised so that the new capacity became
20
passengers and the gondola is filled with
20
randomly selected skiers, what is the probability that their mean weight exceeds
187.5
lb, which is the maximum mean weight that does not cause the total load to exceed
3750
lb?The probability is
nothing.
(Round to four decimal places as needed.)
d. Is the new capacity of
20
passengers safe?Since the probability of overloading is
the new capacity
to be safe enough.
(1)
(2)
(1)
under 5%,
over 50%,
(2)
does not appear
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