In: Statistics and Probability
A cancer drug is produced in one kilogram batches, with an average of six batches produced every hour. Assume the waiting time until the next batch is exponentially distributed.
a) What is the probability the production process
requires more than 15 minutes to produces the next batch of
drugs?
b) Production started 6 minutes ago and has not yet finished a
batch. What is the probability the production process still won’t
be finished 15 minutes from now?
c) The factory now opens two additional production lines. All three
lines operate independently and produce at the same rate. What is
the probability at least one of lines finishes a batch of drugs in
less than 15 minutes?