Section 8.1.2 Binomial Distributions AP Statistics January 12, 2009 CASA.

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Section Binomial Distributions AP Statistics January 12, 2009 CASA

AP Statistics, Section

3 Binomial Distributions on the calculator Binomial Probabilities B(n,p) with k successes binompdf(n,p,k) Corinne makes 75% of her free throws. What is the probability of making exactly 7 of 12 free throws. binompdf(12,.75,7)=.1032

AP Statistics, Section Binomial Distributions on the calculator Binomial Probabilities B(n,p) with k successes binomcdf(n,p,k) Corinne makes 75% of her free throws. What is the probability of making at most 7 of 12 free throws. binomcdf(12,.75,7)=.1576

AP Statistics, Section Binomial Distributions on the calculator Binomial Probabilities B(n,p) with k successes binomcdf(n,p,k) Corinne makes 75% of her free throws. What is the probability of making at least 7 of 12 free throws. 1-binomcdf(12,.75,6)=

AP Statistics, Section Binomial Simulations Corinne makes 75% of her free throws. Simulate shooting 12 free throws. randBin(n,p) will do one simulation randBin(n,p,t) will do t simulations

AP Statistics, Section Normal Approximation of Binomial Distribution Remember

AP Statistics, Section Normal Approximation of Binomial Distribution As the number of trials n gets larger, the binomial distribution gets close to a normal distribution. Question: What value of n is big enough? The book does not say, so let’s see how the close two calculations are…

AP Statistics, Section Example: A recent survey asked a nationwide random sample of 2500 adults if they agreed or disagreed that “I like buying new clothes, but shopping is often frustrating and time-consuming.” Suppose that in fact 60% of all adults would “agree”. What is the probability that 1520 or more of the sample “agree”.

AP Statistics, Section TI-83 calculator B(2500,.6) and P(X>1520) 1-binomcdf(2500,.6,1519)

AP Statistics, Section Exercises all, odd, odd