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

2. AP Statistics, Section 8.1.22

3. 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

4. AP Statistics, Section 8.1.24 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

5. AP Statistics, Section 8.1.25 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)=

6. AP Statistics, Section 8.1.26 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

7. AP Statistics, Section 8.1.27 Normal Approximation of Binomial Distribution Remember

8. AP Statistics, Section 8.1.28 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…

9. AP Statistics, Section 8.1.29 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”.

10. AP Statistics, Section 8.1.210 TI-83 calculator B(2500,.6) and P(X>1520) 1-binomcdf(2500,.6,1519).2131390887

11. AP Statistics, Section 8.1.211 Exercises 8.8-8.11 all, 8.15-8.19 odd, 8.27-8.35 odd