Kim invested $2500 into a 1-year certificate of deposit at an annual interest rate of 2.7% and compounded quarterly. At the end of the year, she re-invested the new amount in a certificate of deposit at an annual interest rate of 4.3% and compounded quarterly. (a) What was the value of Kim’s investment after the first year? (b) What was the value of Kim’s investment after two years?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?