3. (a) Susan tries to exercise at "Pure Fit" Gym each day of the week, except on the weekends(Saturdays and Sundays). Susan is able to exercise, on average, on 75% of the weekdays(Monday to Friday).i. Find the expected value and the standard deviation of the number of days sheexercises in a given week.ii. Given that Susan exercises on Monday, find the probability that she will exercise atleast 3 days in the rest of the week.iii. Find the probability that in a period of four weeks, Susan exercises 3 or less days inonly two of the four weeks.(b) A car repair shop uses a particular spare part at an average rate of 6 per week. Find theprobability that:i. at least 6 are used in a particular week.ii. exactly 18 are used in a 3-week period.iii. exactly 6 are used in each of 3 successive weeks.(c) The breaking strength (in pounds) of a certain new synthetic piece of glass is normallydistributed, with a mean of 115 pounds and a variance of 4 pounds.i. What is the probability that a single randomly selected piece of glass will havebreaking strength between 118 and 120 pounds?ii. A new synthetic piece of glass is considered defective if the breaking strength is lessthan 113.6 pounds. What is the probability that a single randomly selected piece ofglass will be defective?iii. What is the probability that out of 200 pieces of randomly selected glass, more thanfifty-five of them are defective.

Here given susan is able to excercise on average on 75% of weekdays . p=0.75 ,q=1-0.75=0.25. It…

Tes to exer day ol tIne week, except on the weekends (Saturdays and Sundays). Susan is able to exercise, on average, on 75% of the weekdays (Monday to Friday). i. Find the expected value and the standard deviation of the number of days she exercises in a given week. ii. Given that Susan exercises on Monday, find the probability that she will exercise at least 3 days in the rest of the week. iii. Find the probability that in a period of four weeks, Susan exercises 3 or less days in only two of the four weeks.

Tes to exer day ol tIne week, except on the weekends (Saturdays and Sundays). Susan is able to exercise, on average, on 75% of the weekdays (Monday to Friday). i. Find the expected value and the standard deviation of the number of days she exercises in a given week. ii. Given that Susan exercises on Monday, find the probability that she will exercise at least 3 days in the rest of the week. iii. Find the probability that in a period of four weeks, Susan exercises 3 or less days in only two of the four weeks.

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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