4) (2 points) Many stores run "secret sales": Shoppers receive cards that determine how large a discount they get, but the percentage is revealed by scratching off that black stuff (what is that anyway?) only after a purchase has been totaled at the register. The store is required to reveal (in the fine print) the distribution of discounts available. Which of these probability assignments are legitimate? If one is not, explain why. Probableties of . . . Option 10% off 20% off 30% off 50% off A 0.20 0.20 0.20 0.20 B 0.50 0.30 0.20 0.10 C 0.80 0.10 0.05 0.05 D 0.75 0.25 0.25 -0.25 1.00 0 0 0 5) (1 point each) In 2007, Harvard accepted about 7% of its applications, MIT 10%, and Penn 14%. Jorge has applied to all three schools. He figures that his chances of getting in to at least one of the three must be about 31%. a) How has he arrived at this conclusion? b) What assumption is he making? c) Do you agree with his conclusion? Why