In: Statistics and Probability
Q. Assume that you randomly choose an integer from 1, 2, 3 and
4, and next roll a fair four-sided
die until you get an outcome that is larger than or equal to the
randomly chosen integer.
(a) What is the probability mass function of the number of times
you will roll the die?
(b) What is the expected value of the number of times you will roll
the die?