Jim’s utility function is uj (x, y) = xy. francis’s utility function is uf (x, y) = 2xy + 7. tammy’s utility function is ut (x, y) = √xy. oral’s utility function is uo(x, y) = x(y + 5). marjoe’s utility function is um(x, y) = (xy) 2 − 10. pat’s utility function is up (x, y) = 3x/y. billy’s utility function is ub(x, y) = −xy. (a) who has the same preferences as jim? (b) who has the same indifference curves as jim? (c) explain why the answers to (a) and (b) differ

With these: 18/36 = 1/? missing number change 1 5/8 to improper fraction. change 19/5 to a mixed number.

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4

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?