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On a Saturday evening, 34% of the people in Chicago go out to dinner, 18% see...

On a Saturday evening, 34% of the people in Chicago go out to dinner, 18% see a movie, 13% have a party, and 35% stay home. If seven people are randomly selected, what is the probability that one eats out, three see a movie, two have a party, and one stays at home?

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Answer #1

We know that the PDF of multinomial distribution is given by:

So, required probability =

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