a) Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. Type your answer... b) Find the probability that 27 randomly selected adult males have a mean weight greater than 148 lb. 号
a) Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. Type your answer... b) Find the probability that 27 randomly selected adult males have a mean weight greater than 148 lb. 号
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Related questions
Question
![2. An elevator has a sign indicating "Maximum
Capacity 2000 lb -- 27 passengers." Because 4000/27
=
148, this corresponds to a mean passenger weight of
148 lb when the elevator is full. Assume the worst
case scenario of 27 adult males. Assume the weight of
adult males is normally distributed with a mean of 189
lb and a standard deviation of 39 lb.
a) Find the probability that 1 randomly selected adult
male has a weight greater than 148 lb.
Type your answer...
-DI
b) Find the probability that 27 randomly selected adult
males have a mean weight greater than 148 lb.
Type your answer...
--DO
c) Elevators typically have a safety factor of 25%. So
an elevator rated for 4000 lb, can actually carry a
capacity of 5000 lb. Using this value, at 27 male
passengers, the allowed average weight is 185.2 lb.
What is the probability that the elevator is overloaded
when 27 males are onboard?
Type your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b1f419c-803d-46ee-a228-cfc3b5f0a971%2F9e0efb9b-b893-415d-9703-82d549ae7374%2Fnbr22vl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. An elevator has a sign indicating "Maximum
Capacity 2000 lb -- 27 passengers." Because 4000/27
=
148, this corresponds to a mean passenger weight of
148 lb when the elevator is full. Assume the worst
case scenario of 27 adult males. Assume the weight of
adult males is normally distributed with a mean of 189
lb and a standard deviation of 39 lb.
a) Find the probability that 1 randomly selected adult
male has a weight greater than 148 lb.
Type your answer...
-DI
b) Find the probability that 27 randomly selected adult
males have a mean weight greater than 148 lb.
Type your answer...
--DO
c) Elevators typically have a safety factor of 25%. So
an elevator rated for 4000 lb, can actually carry a
capacity of 5000 lb. Using this value, at 27 male
passengers, the allowed average weight is 185.2 lb.
What is the probability that the elevator is overloaded
when 27 males are onboard?
Type your answer.
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