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Binomial Distribution of a Hockey Team

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A hockey team consists of 11 players. It may be assumed that, on every occasion, the probability of any one of the regular members of the team being unavailable for selection is 0.15, independently of all other members. Calculate, giving three significant figures in your answers, the probability that, on a particular occasion,

a) exactly one regular member is unavailable
b) more than two regular members are unavailable

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Solution Summary

The solution discusses a hockey team consists of 11 players. It may be assumed that, on every occasion, the probability of any one of the regular members of the team being unavailable for selection is 0.15, independently of all other members. Calculate, giving three significant figures in your answers, the probability that, on a particular occasion,

a) exactly one regular member is unavailable
b) more than two regular members are unavailable

Solution Preview

Let X be the number of regular members unavailable.

X~Bin (11, 0.15)

a) P(X ...

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