3. Use the following information to answer the next four exercises. The distributor of lotto tickets claims that 20 percent of the tickets are winners. You draw a sample of 500 tickets to test this proposition. a. Can you use the normal approximation to the binomial for your calculations? Why or why not? b. What are the expected mean and standard deviation for your sample, assuming the distributor's claim is true? c. What is the probability that your sample will have a mean greater than 100? d. If the z-score for your sample result is -2.00, explain what this means, using the empirical rule.
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proposition. a. Can you use the normal approximation to the binomial for your calculations? Why or why not? b.What are the expected mean and standard deviation for your sample, assuming the distributor's claim istrue?
c. What is the probability that your sample will have a mean greater than 100? d.f the z-score for your sample result is -2.00,explain what this means,using the empirical rule.