A river contains B fish, (where B are the first 3 digits of your AUM student ID), sixty (60) of which have been tagged by scientists. A researcher randomly catches

15 fish from the river without replacement. Let X be the number of tagged fish. a. Find P(X=3) (Write the Minitab steps and output) b. Find P(X > 11) (Write the Minitab steps and output) c. Find P(X< 5) (Write the Mini tab steps and output) d. Find the probability mass function (PMF) (Write the Minitab steps and output)