1. 12.6 – Probability Distributions

2. Properties of Probability Distributions

3. The probability of each value of X is greater than or equal to 0 and less than or equal to 1.

4. Properties of Probability Distributions The probability of each value of X is greater than or equal to 0 and less than or equal to 1. The sum of the probabilities of all values is 1.

5. Properties of Probability Distributions The probability of each value of X is greater than or equal to 0 and less than or equal to 1. The sum of the probabilities of all values is 1. Ex. 1 The table shows the probability distribution of the number of times a customer orders pizza each month. XP 00.10 10.12 20.44 30.24 4+0.10

6. Properties of Probability Distributions The probability of each value of X is greater than or equal to 0 and less than or equal to 1. The sum of the probabilities of all values is 1. Ex. 1 The table shows the probability distribution of the number of times a customer orders pizza each month. a) Show that the distribution is valid. XP 00.10 10.12 20.44 30.24 4+0.10

7. Properties of Probability Distributions The probability of each value of X is greater than or equal to 0 and less than or equal to 1. The sum of the probabilities of all values is 1. Ex. 1 The table shows the probability distribution of the number of times a customer orders pizza each month. a) Show that the distribution is valid. 0.10+0.12+0.44+0.24+0.10 XP 00.10 10.12 20.44 30.24 4+0.10

8. Properties of Probability Distributions The probability of each value of X is greater than or equal to 0 and less than or equal to 1. The sum of the probabilities of all values is 1. Ex. 1 The table shows the probability distribution of the number of times a customer orders pizza each month. a) Show that the distribution is valid. 0.10+0.12+0.44+0.24+0.10 = 1 XP 00.10 10.12 20.44 30.24 4+0.10

9. b) What is the probability that a customer orders pizza fewer than 3 times per month?

10. P(X < 3)

11. b) What is the probability that a customer orders pizza fewer than 3 times per month? P(X < 3) = P(X = 2)

12. b) What is the probability that a customer orders pizza fewer than 3 times per month? P(X < 3) = P(X = 2) + P(X = 1)

13. b) What is the probability that a customer orders pizza fewer than 3 times per month? P(X < 3) = P(X = 2) + P(X = 1) + P(X = 0)

14. b) What is the probability that a customer orders pizza fewer than 3 times per month? P(X < 3) = P(X = 2) + P(X = 1) + P(X = 0) = 0.44 + 0.12 + 0.10

15. b) What is the probability that a customer orders pizza fewer than 3 times per month? P(X < 3) = P(X = 2) + P(X = 1) + P(X = 0) = 0.44 + 0.12 + 0.10 = 0.66