Each day in April, you have an independent 1/4 chance of deciding to take a 6am run.
(a) What is the probability you go on exactly 12 runs in the month of April (which has
30 days)?
(b) What is the expected number of days you go running during April?
(c) What is the probability that you go running at least once during April 1–7?
(d) What is the probability that that your first run of the month occurs on April 5?
(e) What is the probability that your first run of the month occurs on or before April 20?
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