1. Discrete Probability Distributions Chapter 4

2. § 4.3 More Discrete Probability Distributions

3. Larson & Farber, Elementary Statistics: Picturing the World, 3e 3 Poisson Distribution The Poisson distribution is a discrete probability distribution of a random variable x that satisfies the following conditions. 1. The experiment consists of counting the number of times an event, x, occurs in a given interval. The interval can be an interval of time, area, or volume. 2. The probability of the event occurring is the same for each interval. 3.The number of occurrences in one interval is independent of the number of occurrences in other intervals. The probability of exactly x occurrences in an interval is where e  2.71818 and μ is the mean number of occurrences.

4. Larson & Farber, Elementary Statistics: Picturing the World, 3e 4 Poisson Distribution Example : The mean number of power outages in the city of Brunswick is 4 per year. Find the probability that in a given year, a.) there are exactly 3 outages, b.) there are more than 3 outages.

5. Larson & Farber, Elementary Statistics: Picturing the World, 3e 5 Homework Page 202-204 5-8, 9-14. 19-22 Page 208 #13 & 14

6. Larson & Farber, Elementary Statistics: Picturing the World, 3e 6 Page 202-204 5-8, 9-14. 19-22 5) 0.0902 6) 0.1606 7) 0.2510 8) 0.0544 9 Geometric, looking for first success 10 Poisson, looking for number of successes in interval 11 Poisson, looking for number of successes in interval 12 Binomial looking for number of success in 120 trials 13 Binomial looking for number of success in 10 trials 14 Geometric, looking for trial of first success

7. Larson & Farber, Elementary Statistics: Picturing the World, 3e 7 Page 202-204 5-8, 9-14. 19-22 19)a 0.0573 b 0.9576c 0.9004 20)a 0.1954 b 0.4335 c 0.5665 21)a 0.3476 b 0.8442 c 0.1558 22)a 0.1311b 0.6269 c 0.3731