A process characteristic follows a normal distribution with…

A process characteristic follows a normal distribution with a mean of 25.15 and standard deviation of 0.9.  The spec limits for the characteristic are 25.00 +/- 1.5.   If a sample of 8 parts are taken from the process, what is the probability that there will be no parts out of spec in the sample?

A large distribution center of a package delivery company ha…

A large distribution center of a package delivery company had an average of 2.5 major conveyor jams in each sort.  (A sort is when the semi-trucks bring packages to the facility and they are sorted to put into vehicles going to other centers or the final customer.  The sort uses a massive number of conveyors.)  The center runs 3 sorts per day.  Assuming the number of major jams follows a Poisson distribution, what is the probability of having exactly 4 major jams on a day?