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anonymous
 one year ago
A hockey player scores by probability of 18%. How many shots does he expect to take before he can score a goal.
anonymous
 one year ago
A hockey player scores by probability of 18%. How many shots does he expect to take before he can score a goal.

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2if the player makes 50% of the shots, how many would you expect him to need to shoot before he makes one?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Geometric distribution: The probability distribution of the number X of Bernoulli trials needed to get one success, supported on the set { 1, 2, 3, ...} The expected value of N for the first success is 1/p where p=0.18 for this problem. See: https://en.wikipedia.org/wiki/Geometric_distribution

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The means that if we repeat the same experiment many times, there will be an equal number of outcomes above and below N=1/p. If p=0.4, then N=1/0.4=2.5. If the same experiment is repeated say 1000 times, then \(approximately\) 500 need 3 or more tries, and 500 will need 2 or less tries.
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