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Section 4

Section 4. Other Types of Distributions. The Multinomial Distribution. If each trial in an experiment has more than two outcomes, the multinomial distribution must be used. Look at the formula on page 283. WRITE IT DOWN. Example.

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Section 4

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  1. Section 4 Other Types of Distributions

  2. The Multinomial Distribution • If each trial in an experiment has more than two outcomes, the multinomial distribution must be used. • Look at the formula on page 283. WRITE IT DOWN.

  3. Example • In a large city, 40% of the people choose a movie, 35% choose dinner and a play, and 25% 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.

  4. Example 2 • A box contains 5 white balls, 2 red balls, and 3 green balls. A ball is selected at random, and its 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.

  5. The Poisson Distribution • This type of distribution is useful when n is large and p is small and when the independent variables occur over a period of time. • Can be used when a density of items is distributed over a given area or volume (ex. Plants per acre) • Look at the formula on p. 285 WRITE IT DOWN

  6. Example • If there are 200 typographical errors randomly distributed in a 500- page manuscript, find the probability that a given page contains exactly 3 errors. X=

  7. We can use Appendix C to help with Poisson Distributions • It is on page 776 in your text book.

  8. Example • A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour, find the probability that it will receive the following: • At most 3 calls • At least 3 calls

  9. Example • If approximately 2% of the people in a room of 200 people are left-handed, find the probability that exactly 5 people are left-handed.

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