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A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Y; denote the number of times exit i is chosen in successive runnings. ASsume that the rat chooses an exit at random on each run. Find the probability that n = 3 runs result in Y, = 1, Y2 = 1, and Y3 = 1.

A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Y; denote the number of times exit i is chosen in successive runnings. ASsume that the rat chooses an exit at random on each run. Find the probability that n = 3 runs result in Y, = 1, Y2 = 1, and Y3 = 1.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Y; denote the number of times exit i is chosen in successive runnings. Assume that the rat chooses an exit at random on each run. Find the probability that n = 3 runs result in Y, = 1, Y2 = 1, and Y3 = 1.
Transcribed Image Text:A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Y; denote the number of times exit i is chosen in successive runnings. Assume that the rat chooses an exit at random on each run. Find the probability that n = 3 runs result in Y, = 1, Y2 = 1, and Y3 = 1.
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