A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9,100 lb). After the boat sank, the assumed mean weight for similar boats was changed from 130 lb to175 lb. Complete parts a and b below.a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 180.7 Ib and a standard deviation of 35.5 lb. Find the probability that the boat is overloaded because the 70 passengershave a mean weight greater than 130 lb.The probability is 1.(Round to four decimal places as needed.)b. The boat was later rated to carry only 15 passengers, and the load limit was changed to 2,625 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than themaximum capacity of 2,625 lb).The probability is(Round to four decimal places as needed.)

a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: A boat capsized and sank in a lake.…

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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Please answer all 4
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