Probability 4.2

Binomial Distributions Chapter 4.2

Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object]

What does “binomial” mean?

Binomial Experiments ,[object Object],[object Object],[object Object],[object Object],[object Object]

Binomial Experiment Notation Symbol Description n The number of times a trial is repeated p = P(S) The probability of success in a single trial q = P(F) The probability of failure in a single trial (q = 1 – p) x The random variable represents a count of the number of successes in n trials: x = 0, 1, 2, 3, . . ., n

Drawing a Club Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Binomial or not? ,[object Object],[object Object]

Binomial or not? ,[object Object],[object Object],[object Object],[object Object],[object Object]

What is the probability? ,[object Object]

Binomial Probability Formula ,[object Object],[object Object],[object Object]

What is the probability? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Another example . . . ,[object Object],[object Object],[object Object],[object Object],[object Object]

Technology to the Rescue! ,[object Object],[object Object],[object Object],[object Object]

Using Binomial Probability Tables ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Graphing Binomial Distributions ,[object Object],[object Object],x 0 1 2 3 4 5 6 P(x) .002 .020 .095 .235 .328 .244 .075

Graphing Binomial Distributions x 0 1 2 3 4 5 6 P(x) .002 .020 .095 .235 .328 .244 .075

Mean, Variance, & Standard Deviation ,[object Object],[object Object],[object Object],[object Object]

Homework ,[object Object],[object Object]

Probability 4.2

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