2. An elevator has a sign indicating "MaximumCapacity 2000 lb -- 27 passengers." Because 4000/27=148, this corresponds to a mean passenger weight of148 lb when the elevator is full. Assume the worstcase scenario of 27 adult males. Assume the weight ofadult males is normally distributed with a mean of 189lb and a standard deviation of 39 lb.a) Find the probability that 1 randomly selected adultmale has a weight greater than 148 lb.Type your answer...-DIb) Find the probability that 27 randomly selected adultmales have a mean weight greater than 148 lb.Type your answer...--DOc) Elevators typically have a safety factor of 25%. Soan elevator rated for 4000 lb, can actually carry acapacity of 5000 lb. Using this value, at 27 malepassengers, the allowed average weight is 185.2 lb.What is the probability that the elevator is overloadedwhen 27 males are onboard?Type your answer.

The number of adult males is Mean Standard deviation a): The probability that 1 randomly selected…

Answered: a) Find the probability that 1 randomly…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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