Question 4Doug was the friend that told Phil (from Question 1) that he drinks toomuch coffee. It turns out that Doug might be a bit of a hypocrite, since healso likes to drink lots of coffee. Not only that, Doug also likes to drink acaffeinated sports drink called "SportsCaf". Though to be fair, coffee andSportsCaf are the only caffeinated drinks that Doug consumes. Aftersome self reflection, Doug thinks that the relationship between thenumber of coffees he drinks (Y) and the number of SportsCaf drinks hedrinks (X) in any given week can be described by the joint probabilitydistribution below. He's also pretty confident that his pattern ofconsumption of caffeinated drinks is independent from week to week.A.B.C.4SportsCaf (x) 58Coffees (y)121015200.090.02 0.06 0.090.13 0.11 0.07 0.050.08 0.12 0.08 0.10Y-12Calculate the variance of the quantityOver the next 11 weeks, find the probability that the totalnumber of caffeinated drinks that Doug consumes in a week isbetween 16 and 20 (inclusive of both values) in either 5 or 7 weeks.Over the next 52 weeks, find the approximate probabilitythat Doug drinks more than 767 coffees in total.

Given the joint probability distribution between the number of coffees and the number of SportsCaf…

Answered: Doug was the friend that told Phil…

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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