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?
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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
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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