(14) 4. The average number of gallons of gas pumped when a car stops for gas is normally distributed with a mean of 9.76 gallons and a standard deviation of 2.5 gallons. a) What is the probability one car will have over 11 gallons of gas pumped at the next stop at a gas station? Show work b) What is the probability that from a sample of 10 cars they will have an average number of gallons pumped over 11 gallons? Show work c) Why is the answer for a) more than the answer for b)? d) Give an example of an interval that could have been used in parts a) and b) so that the answer for b) is more than the answer for a)? (4) 5. You are involved in a sewing competition where the fastest people who make dresses earn cash. To be eligible for the cash rewards you must make the dress in the fastest 9.34% of people. If the average time to make a dress is normally distributed with a mean of 10 hours and a standard deviation of 2.2 hours what is the maximum time you have to make the dress and still be eligible for the cash rewards? Show work