Chapter 7 Section 5.  Binomial Distribution required just two outcomes (success or failure).  Multinomial Distribution can be used when there are more.

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Presentation transcript:

Chapter 7 Section 5

 Binomial Distribution required just two outcomes (success or failure).  Multinomial Distribution can be used when there are more than two possible outcomes  Conditions are the same as binomial distribution (outcomes independent, fixed number of trials, probabilities must remain constant, and events must be mutually exclusive.)

If X consists of events which have corresponding probabilities of occurring and is the number of times will occur, is the number of times will occur, etc, then the probability that X will occur is where and

In a large city, 50% of people choose a movie, 30% choose dinner and a play, and 20% choose shopping as a leisure activity. If a sample of 5 people is randomly selected, find the probability that 3 are planning to go to a movie, 1 to a play, and 1 to a shopping mall.

A box contains 4 white balls, 3 red balls, and 3 blue balls. A ball is selected at random and it’s color is written down. It is replaced each time. Find the probability that if 5 balls are selected, 2 are white, 2 are red, and 1 is blue.