Installationofacertainhardwaretakesrandomtimewithastandarddeviationof5 minutes.310 Probability and Statistics for Computer Scientists (a) A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the population mean installation time. (b) Suppose that the population mean installation time is 40 minutes. A technician installs the hardware on your PC. What is the probability that the installation time will be within the interval computed in (a)?