Studies show that 25% of adults in the US smoke. Answer the following questions about a random group of 158 US adults. 1. What is the expected value of the number of adutts in the group who smoke? {Hint Use the formula for the expected value of the binomial from chapter 5.} Round your answer to one decimal point. 2. 1It'll-hat is the standard deviation of the number of adults in the group who smoke? (Hint: Use the formula for the variancei'standard deviation of the binomial fnom chapter 5.} Round your answer to one decimal point. Note: For questions 3 to 5, use the Normal Approximation to the Binomial and don't forget to use the continuity correction factor! 3. What is the probability that III-city 32 adults in the group smoke? [Hint Use the Normal Approximation to the Binomial and don't forget the continuity conection factor.) 4. What is the probability that 313 to 35 of the adults in the group smoke? {Hint Use the Nomtal Appmximation to the Binomial. 1t"es, you need to use the connu' conection factor on this one to_o! Thats the most common mistake students make on this question.) 5. What is the probability that 25 or fewer of the adults in the group smoke? {Hint Use the Nomtal Approximation to the Binomial. t-'Iigainr don't forget the continuity correction factor!) The mean waiting time to pass through airport secuiity at a small airport is 3 minutes. The wait time has an exponential distribution. Answer the following questions. Use the formulas shown in the video in lv'lodule 9.52b. There is no need to use calculus. 5. What is the probability that the wait time will be less than or equal to 2 minutes? T. What is the probability that the wait time will be more than 3 minutes? 8. What is the probability that the wait time will be between 2 and 5 minutes