5. Fifteen male economists are in a life raft with a maximum carrying capacity of 2850 pounds.The distribution of weights of male economists is normal with a mean of 178 pounds and astandard deviation of 17 pounds.(a) Find the probability that a randomly chosen economist weighs more than 189 pounds.(b) Find the probability that a randomly chosen economist weights between 180 and 190pounds.(c) Find the lower bound of average weight of the economists beyond which the boat will beoverloaded.(d) Find the probability that the average weight of the 15 economists exceeds the lowerbound of average you calculated in part c.

Given Mean =178 Standard deviation =17

Answered: "he distribution of weights of male…

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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Megah corporation gives each of its employees an aptitude test. The scores on test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken. What are the mean and standard deviation values for the sample taken? What is the probability that the average aptitude test score in the sample will be between 70 to 83 marks? What is the probability that the average aptitude test score in the sample will be equal or greater than 83 marks? Find the value of C, if P (Z ≥ C) = 0.015
9.An automobile insurer has found that repair claims are Normally distributed with a mean of $530 and a standard deviation of $480. (a) Find the probability that a single claim, chosen at random, will be less than $490. (b) Now suppose that the next 60 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average X¯ of the 60 claims is smaller than $490. (c) If a sample larger than 60 claims is considered, there would be __________ chance of getting a sample with an average smaller then $490. (NOTE: Write ''LESS'', ''MORE'' or ''AN EQUAL''.)
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