Suppose that hourly wages for employees at a large company follow a normal distribution with a mean of $ 15.85 and a standard deviation of $2.92. Find the following. Round to four decimals if needed. Answers of 0 and 1 are possible due to rounding. a. You take a random sample of 8 employees. Find the probability that their mean wage is between $14.21 and $14.98 : b. If you select an employee at random, what is their expected wage? c. Out of a random sample of 8 employees, how many would you expect have wages between $14.21 and $ 14.98? d. If you take 160 random samples of 8 employees, how many would you expect to have a mean wage that is no more than $14.21? e. The top 3% of samples of size 8 will have a mean that exceeds what value? f. What is the percentile of an hourly wage of $14.21? Submit