5. Consider an experiment that consists of recording the birthdays of 20 randomly selected people. Ignore leap years and assume that there are only 365 possible distinct birthdays. (15 points) a) Come up with a representation of a sample point from this experiment and explain it. (An example might be helpful.) (1 points) b) How many sample points are therefor this experiment? (3 points) c) If we let Ei denote one sequence of 20 birthdays, and I tell you to assume that the possible sets of birthdays are all equally probable, what is P(EZ-)? (2 points) d) What is the probability that no one shares a birthday? (3 points) e) What is the probability that at least two people share birthdays? (3 points) f) Between d) and e), which is more likely? Are you surprised by this? Explain to a nonstatistician. (3 points)