7. Birthday problem: Show that in a random group of 25 people, that probability of 2 people having a matching birthday is greater than 50%. 8. Lets make a deal problem: Tim is on a game show and given the choice of 3 doors. Behind one door there is a BMW, and behind the others chickens and goats. Suppose he picks door 2. The game show host (who knows what is behind each door) then opens door 1 which has chickens and goats. Should Tim stay with door 2 or switch to door 3? Which is the better option and why? 9. Prove the addition rule for 3 events: 8. What is the adjusting journal entry to record the accrual of $1,000 of interest income on a note receivable