In the Milton Bradley game Trouble, each player takes turns pressing a popper that contains a single

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In the Milton Bradley game Trouble™, 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 6 on the die. The number of tries required to get a 6 can be described by the geometric distribution.

(a) Using the result of Exercise 42(b), what is the expected number of times a popper must be pressed before a success occurs?
(b) What is the probability that you will have to press the popper four or more times before a 6 pops up?

Exercise 42(b)

(b) Calculate the expected value for ƒ, given by

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