A machine that manufactures automobile pistons is estimated to produce a defective piston 3%of the time. Suppose that this estimate is correct and that a random sample of 80pistons produced by this machine is taken.

1. Estimatethenumberofpistonsinthesamplethataredefectivebygivingthemeanoftherelevantdistribution(thatis,theexpectationoftherelevantrandomvariable).Donotroundyourresponse.
3. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.