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Binomial Probability distribution: probability all women

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In the 107th Congress, the Senate consists of 13 women and 87 men. If a lobbyist for the tobacco industry randomly selects three different senators, what is the probability that they are all women?

An article in USA Today stated that "Internal surveys paid for by directory assistance providers show that even the most accurate companies give out wrong numbers 15% of the time." Assume that you are testing such a provider by making 10 requests and also assume that the provider gives the wrong telephone number 15% of the time. Find the probability of getting at most, one wrong number. (Assume the Binomial distribution applies.)

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Solution Summary

Walks through how to calculate the probability of various events using the binomial distribution. The post includes two questions on binomial probability distribution.

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In the 107th Congress, the Senate consists of 13 women and 87 men. If a lobbyist for the tobacco industry randomly selects three different senators, what is the probability that they are all women? ...

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