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(Solved): NEED A THROUGH Doptions fir question D are:First blank, over 50% or under 5% second blank, appe ...



NEED A THROUGH D
options fir question D are:
First blank, over 50% or under 5% 
second blank, appears or does not appear

A ski gondola carrios skicocs to the top of a mountain. Assume that weights of skiors are narmaly distributed with a muan of
A ski gondola carrios skicocs to the top of a mountain. Assume that weights of skiors are narmaly distributed with a muan of \( 199 \mathrm{~b} \) and a standard deviation of \( 39 \mathrm{lb} \). The gondola has a stated capecity of 25 passengers, and the gondola is ratod for a lond Imit of 3750 b. Completo parts (a) through (d) below. a. Given that the gandola is rated for a bad limit of \( 3750 \mathrm{fb} \), what is the maximum mean weight of the pasivengers if ehe gondola is filled to the stated capacily of 25 passengens? The maximura mean weight is lb. (Typo an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly solected skiers, what is the probability that their moan woight exceode the varue from part (a)? The probublityits (Round to four decimal places as needed.) exceeds \( 187.5 \mathrm{lb} \), which is the maximum mean weight that dees not cowee the folal food to excoed \( 3750 \mathrm{lb} \) ? The probability is (Round to tour decimal places as needed ) d. Th the new capacity of 20 passengers cafe? Since the probablity of overionding is the new capacty be sufe enough.


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a) the maximum mean weight is = 3750/25=150 b) population mean (u) = 199 population std dev (?) = 39.00 sample size = 25 sample mean ( X?) = 150 mean
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