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12/24/20157-6 7-6 Probability Distributions. 12/24/20157-6 Probability Distributions Random Variable – a variable whose values are numbers determined.

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Presentation on theme: "12/24/20157-6 7-6 Probability Distributions. 12/24/20157-6 Probability Distributions Random Variable – a variable whose values are numbers determined."— Presentation transcript:

1 12/24/20157-6 7-6 Probability Distributions

2 12/24/20157-6 Probability Distributions Random Variable – a variable whose values are numbers determined by the outcome of an experiment Probability Distribution – a function which pairs each outcome with its probability The probabilities must always add up to 1.

3 12/24/20157-6 Probability Distribution Construct a probability distribution for the following experiment: You flip a coin 3 times and record the number of heads. Sample Space:Graph: HHHHTT HHTTHT HTHTTH THHTTT Chart: x = # of H P(x)

4 12/24/20157-6 Mean or Expected Value The mean or expected value of an experiment is found by: Find the expected value of the number of heads, when tossing a coin 3 times.

5 12/24/20157-6 Probability Distribution Construct a probability distribution for the following experiment: Assuming births of boys and girls are equal, investigate the number of girls in a family of 5 children. What is the domain of the random variable? Sample Space:Probability distribution: Find the Expected Value: x = # of G012 34 5 P(x)

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