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 5 major jams on a day?

Reliability analysis of many aeronautical mechanical compone…

Reliability analysis of many aeronautical mechanical components is often performed using the lognormal distribution.  If the number of cycles of use before failure of a component follows a lognormal distribution with parameters µ= 15 and σ = 4.5.  What is the probability that the component will fail in less than 1000 cycles?

Reliability analysis of many aeronautical systems components…

Reliability analysis of many aeronautical systems components is often performed using the lognormal distribution.  If the number of cycles of use before failure of a component follows a lognormal distribution with parameters µ= 14 and σ = 4.6.  What is the probability that the component will fail in less than 1400 cycles?

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?