A process that fills packages is stopped whenever a package

A process that fills packages is stopped whenever a package is detected whose weight falls

outside the specification. Assume that each package has probability 0.01 of falling outside

the specification and that the weights of the packages are independent.

a) Find the mean and the variance of the number of packages that will be filled until

the process is stopped.

b) What is the probability that 10 packages are filled until the process is stopped.

c) Assume that the process will not be stopped until four packages with defective weights

are detected. What is the probability that atleast twelve packages are filled until the

process is stopped.