What is the chance that a customer orders both a

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21. What is the chance that a customer orders both a hamburger and a Diet Coke? a. (.60)*(.50) b. (.80)*(.50) c. .60 + .50 – (.60)(.50)
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d. None of these choices are true. P(H|D)=0.8 P(D)=0.5 so P(H and D)=0.8*0.5 22. What is the probability that a customer orders a Diet Coke and not a hamburger? P(D but not H)=P(D)-P(D and H)==0.5-0.4=0.1 23. Whether or not a hamburger is ordered is independent of whether or not a Diet Coke is ordered. RECORD YOUR ANSWERS TO THE ABOVE PROBLEMS ON THE ANSWER SHEET ON THE LAST PAGE. WE ONLY GRADE THE ANSWER SHEET FOR MC/TF. WORK IT OUT! Justify ALL answers; show all steps, use probability symbols, not just numbers. Answers without work (even if correct) can’t receive credit. 24. Suppose A and B are two independent events for which P ( A ) = 0.20 and P ( B ) = 0.60. Find P ( A | B ) or explain why it is not possible to find. By independence, P(A|B)=P(A)=0.2 25. Exactly three restaurants serve a small town in Ohio. Restaurant A has 50% of all the business, restaurant B has 30% and restaurant C has the rest of them (20%). Customer satisfaction rates are 80%, 65%, and 40%, respectively. Suppose you ate at one of these restaurants and you were not satisfied . Which restaurant were you most likely to have gone to: A, B, or C? Use probability symbols and show your work. A B C P(A|not S)=P( A and not S)/P(not S)=0.308 P(B|not S)=P( B and not S)/P(not S)=0.323 P(C|not S)=P( C and not S)/P(not S)=0.37 P(not S)= P( A and not S)/P(not S)+ P( B and not S)/P(not S)+ P( C and not S)/P(not S)=0.325 So you are most likely to have gone to C. #26-27: Let X be the amount of cash a customer withdraws from their bank account on one visit. Assume X has a normal distribution with mean $100 and standard deviation $25. 26. Find the probability that one customer chosen at random withdraws at least $60. Include a picture in your solution.
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P(X≥60)=P(Z≥-1.6) so prob=1-0.0548=0.9452 ANS_0.9452________ 27. Find the amount of money that represents the cutoff for the top 25% of withdrawal amounts. Include a picture in your solution. Z=0.67 so X=100+0.67*25=116.75$ ANS__$116.75_______ #28-30: The number of televisions you sell in a day has this probability distribution: X 0 1 2 3 p(x) .1 .3 .2 .4 28. What is the average number of televisions you sell in a day? ANS____1.9TVs by expectation formula_____ 29. You make $40 per day plus $5 for every television you sell. What is your average daily salary? 40+5*1.9=49.5$ ANS___49.5$______ 30.
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