Using R for Introductory Statistics : John Verzani

Using R for introductory statistics 160season. What is the probability the player has a batting average higher than .350? Use thenormal approximation to answer.5.29 Assume that a population is evenly divided on an issue (p=1/2). A randomsample of size 1,000 is taken. What is the probability the random sample will have 550 ormore in favor of the issue? Answer using a normal approximation.5.30 An elevator can safely hold 3,500 pounds. A sign in the elevator limits thepassenger count to 15. If the adult population has a mean weight of 180 pounds with a25-pound standard deviation, how unusual would it be, if the central limit theoremapplied, that an elevator holding 15 people would be carrying more than 3,500 pounds?5.31 A restaurant sells an average of 25 bottles of wine per night, with a variance of 4.Assuming the central limit theorem applies, what is the probability that the restaurant willsell more than 775 bottles in the next 30 days?5.32 A traffic officer writes an average of four tickets per day, with a variance of oneticket. Assume the central limit theorem applies. What is the probability that she willwrite fewer than 75 tickets in a 21-day cycle?