Suppose the probability of an IRS audit is 1.9% for US taxpayers who file form 1040 and who earns 100,000 or more.

What are the odds that such a taxpayer will be audited?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.