1. The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.
a) Find the probability that randomly selected turkey weighs between 20 and 26 pounds.
b) fiND THE possibility that a randomly selected turkey weighs less than 12 pounds.
2. Suppouse that the miles-per-gallon(mpg) rating of passenger cars is normally distributed random variable with a mean and a stander deviation of 33.8 mpg and 3.5 mpg, respectively.
a) What is the probability that randomly selected passengers gets at least 40 mpg?
b) What is the probability that a randomly selected passenger car gets between 30 and 35mpg?
c) an automobile manufacturer wants to build a new passenger car with an mpg rating that improves upon 99 percent of existing cars. What is the minimum mpg that would achieve this goal?
3) according to the company website, the top 25% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and stander deviation of the test scores are 68 and8, respectively. What is the possible range for your test score if you assume that the scores are normally distributed?
4) The average college student graduated with 27,200$ in debt. Let debt among recent college graduates be normally distributed with a standard deviation of 7000$
a) What is the amount of debt that places a recent college graduate in the bottom 10% in terms of debt?
b)What is the amount of debt that places a recent college graduate in the top 15% in terms of debt?