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a. Using the expected value for f, what is the expected number of times a popper must be pressed before a success occurs?

a. Using the expected value for f, what is the expected number of times a popper must be pressed before a success occurs?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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In a board game, each player takes turns pressing a "popper" that contains a single die. To begin moving a game piece around the board a player must first pop a 4 or a 6 on the die. The number of tries required to get a 4 or a 6 can be described by the geometric distribution, for which the probability for success after x tries is given by f(x) = (1- p)X-1p, x= 1,2,3,.., where p is the probability of success on a given try. Note that 1 Complete parts a. and b. below. the expected value for f is a. Using the expected value for f, what is the expected number of times a popper must be pressed before a success occurs? (Simplify your answer.)
Transcribed Image Text:In a board game, each player takes turns pressing a "popper" that contains a single die. To begin moving a game piece around the board a player must first pop a 4 or a 6 on the die. The number of tries required to get a 4 or a 6 can be described by the geometric distribution, for which the probability for success after x tries is given by f(x) = (1- p)X-1p, x= 1,2,3,.., where p is the probability of success on a given try. Note that 1 Complete parts a. and b. below. the expected value for f is a. Using the expected value for f, what is the expected number of times a popper must be pressed before a success occurs? (Simplify your answer.)
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