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Slot Machine: The author purchased a slot machine configured so that a probability of winning the jackpot on any individual trail. Although no one would seriously consider tricking the author, suppose that a guest claims that she played the slot machine 6 times and hit the jackpot three times.

a. Find the probability of exactly 3 jackpots in 6 trials.
b. Find the probability of at least 3 jackpots in 6 trials.
c. Does the guest's claim of hitting 3 jackpots in 65 trials seem valid? Explain.

 

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