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12.6 – Probability Distributions

12.6 – Probability Distributions. Properties of Probability Distributions. 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. Properties of Probability Distributions

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12.6 – Probability Distributions

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  1. 12.6 – Probability Distributions

  2. Properties of Probability Distributions

  3. 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.

  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.

  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.

  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

  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

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

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

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