1. Suppose that the probability of making an A on a particular exam is 0.1.
(a) If five students who took the exam are chosen at random, what is the probability that no more than one made an A?
(b) Suppose that one was unsure about the 0.1 probability given above and want to estimate the probability of making an A. If a random sample of 30 students resulted in six who made A, what would you estimate the probability of making an A to be?
2. Let Y "" UNIF(O, By ) and let X have an exponential distribution with param eter Bx, where the parameters B are chosen such that the means of the distri butions are 50.
(a) Find P( 30 X 70).
(b) Find P( 30 Y 70).
(c) Which distribution would you prefer as a model for exam grades? Why?