Consider three basketball players: Anna, Beth, and Carolyn. The probability that Annawill make a free throw is 0.9, Beth 0.6, and Carolyn 0.3. Assume that all performancesare independent.(a) If each of them attempts a free throw, what is the probability that nobody makesthe shot?(b) If Anna attempts 10 free throws in a row, that is the probability that she makes atmost 8 of the 10 shots?(c) If Beth decides that she won't take a break until she makes 10 free throws, what isthe probability that she makes her 10th free throw on the 15th attempt?(d) What is the expected number of shots that Carolyn needs to attempt until she makesone?

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Answered: Consider three basketball players:…

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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This past semester, a professor had a small business calculus section. The students in the class were Neta, Kristin, Jinita, Mike, Allison, Jim, Al, William, and Dave. Suppose the professor randomly selects two people to go to the board to work problems. What is the probability that Dave is the first person chosen to go to the board and Jinita is the second? P(Dave is chosen first and Jinita is second) = (Type an integer or a simplified fraction.)
Mason drives to school for his class on Monday, Wednesday and Friday. He prefers to park in Parking Lot A because it is next to his classroom building, but he is not always able to find a spot there. If it's sunny the probability that he finds a spot is 0.72 but if it's raining more people drive, so the probability that he finds a spot is only 0.44. Whether he finds a spot in Lot A is independent from one day to the next. (a) On a sunny day, what is the probability that Mason does not find a spot in Lot A? (b) In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason does not find a spot in Lot A on any of the three days? (Round your answer to four decimal places.) (c) In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason finds a spot in Lot A on at least one of the three days? (Round your answer to four decimal places.)
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