An analogue signal received at a detector, measured in microvolts, is normally distributed with meanof 200 and variance of 256.a. What is the probability that the signal will exceed 224 microvolts?b. What is the probability that it will be between 186 and 224 microvolts?c. What is the probability that the signal will be less than 220 microvolts, given that it is larger than210 microvolts?

Answered: An analogue signal received at a…

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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An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27= 152 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? Round to four decimal places as needed

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