dult men’s weight are normally distributed with μ = 172 lb and σ = 29 lb. (a) If one male is randomly selected, find the probability that his weight is greater than 180 lb. (b) If ̄ X represents the average weight for 13 adult men, find the number k such that P ( ̄ X<k ) = 0 . 99 (c) You need to design an elevator, and it must safely carry 13 adult male passengers. Find the maximum TOTAL allowable weight if we want a 0.99 probability that this maximum will not be exceeded when 13 adult males are randomly selected.

Question
dult men’s weight are normally distributed with
μ
= 172 lb and
σ
= 29 lb.
(a) If one male is randomly selected, find the probability that his weight is greater
than 180 lb.
(b) If
̄
X
represents the average weight for 13 adult men, find the number
k
such
that
P
(
̄
X<k
) = 0
.
99
(c) You need to design an elevator, and it must safely carry 13 adult male passengers.
Find the maximum TOTAL allowable weight if we want a 0.99 probability that
this maximum will not be exceeded when 13 adult males are randomly selected.

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