6.3 – Additional Properties of the Binomial Distribution

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Presentation transcript:

6.3 – Additional Properties of the Binomial Distribution Graphing a Binomial Distribution How to graph a binomial distribution: Place r values on the horizontal axis. Place P(r) values on the vertical axis. Construct a bar over each r value extending from r - 0.5 to r + 0.5. The height of the corresponding bar is P(r).

Example Rachel enjoys playing basketball. She makes about 80% of her free throws each game. Make a histogram showing the probability that Rachel will make 0, 1, 2, 3, 4, 5 free throws out of 5 attempts in tonight's game.

Mean and Standard Deviation of a Binomial Distribution How to compute µ and ơ for a binomial distribution. µ = np is the expected number of successes for the random variable r ơ = 𝒏𝒑𝒒 is the standard deviation for the random variable r where: r is a random variable representing the number of successes in a binomial distribution, n is the number of trials, p is the probability of success on a single trial, q = 1 - p is the probability of failure on a single trial

Guided Exercise #7 As whole group, turn to page 233 Cover answers Whole group clarification

Checkpoint Make a histogram for a Binomial Distribution Compute mean and standard deviation for a Binomial Distribution.

Homework Read Pages 230-234 Do Problems Get Ready for Test Take notes on what we have not covered Do Problems Page 234-236 (1-10) odds Check odds in back of book Get Ready for Test Chapter Review Problems Notes/vocab