Question

A process that fills packages is not stopped until four packages whose weight falls outside the specification are detected. Assume that each package has probability 0.01 of falling outside the specification and that the weights of the packages are independent.

a.Define the random variable of interest, its support, and parameter values over this period.

b. What is the probability that 50 packages need to be filled until the process is stopped?

c.Find the mean and variance of the number of packages that will be filled before the process is stopped.

Answer 1