3. Suppose thirty-five percent of adults did not visit their physicians' offices last year. Let x be the number of adults in a random sample of 40 adults who did not visit their physicians' offices last year. For the probability distribution of x:

a] The mean is: _______ because: ______________________

b] The standard deviation is: ________ because: ____________________

NOTE: HINT: use the t statistic to answer problem 4 (you are working with a small sample, n=12)

4.Construct a 99% confidence interval for the mean of the population of all statistics students from which the sample in problem 1 was drawn.

5.According to the American Federation of Teachers, the average salary of 1998 college graduates with a degree in accounting was $33,702 (USA Today, June 18, 1999). Assume that the distribution of current salaries of recent graduates with a degree in accounting is skewed to the right with a mean of $33,702 and a standard deviation of $3,900. Find the probability that the mean current salary of a random sample of 200 recent college graduates with a degree in accounting is within $400 of the population mean.

thank you for any help and suggestion in advance.