Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a free throw is 0.9, Beth 0.6, and Carolyn 0.3. Assume that all performances are independent. (a) If each of them attempts a free throw, what is the probability that nobody makes the shot? (b) If Anna attempts 10 free throws in a row, that is the probability that she makes at most 8 of the 10 shots? (c) If Beth decides that she won't take a break until she makes 10 free throws, what is the probability that she makes her 10th free throw on the 15th attempt?
Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a free throw is 0.9, Beth 0.6, and Carolyn 0.3. Assume that all performances are independent. (a) If each of them attempts a free throw, what is the probability that nobody makes the shot? (b) If Anna attempts 10 free throws in a row, that is the probability that she makes at most 8 of the 10 shots? (c) If Beth decides that she won't take a break until she makes 10 free throws, what is the probability that she makes her 10th free throw on the 15th attempt?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna
will make a free throw is 0.9, Beth 0.6, and Carolyn 0.3. Assume that all performances
are independent.
(a) If each of them attempts a free throw, what is the probability that nobody makes
the shot?
(b) If Anna attempts 10 free throws in a row, that is the probability that she makes at
most 8 of the 10 shots?
(c) If Beth decides that she won't take a break until she makes 10 free throws, what is
the 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 makes
one?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1941a39f-dbc9-477a-8528-f1bffe3dd4bc%2F79a4bb49-6cfd-45a6-b81b-0182258060d3%2Fciha9v_processed.png&w=3840&q=75)
Transcribed Image Text:Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna
will make a free throw is 0.9, Beth 0.6, and Carolyn 0.3. Assume that all performances
are independent.
(a) If each of them attempts a free throw, what is the probability that nobody makes
the shot?
(b) If Anna attempts 10 free throws in a row, that is the probability that she makes at
most 8 of the 10 shots?
(c) If Beth decides that she won't take a break until she makes 10 free throws, what is
the 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 makes
one?
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