In: Statistics and Probability
Alice wants to sell her Pokemon card collection on eBay. She decides to accept the first bid that exceeds 100$. Suppose that each bid that she receives is chosen uniformly at random between 0$ and 110$ (the bids are continuous, i.e., real numbers in that interval). Let X be the number of bids Alice receives (once she accepts a bid, the auction is over and she does not receive any more bids).
(a)Is X discrete, continuous, or neither?
(b)Find the expectation of X.
a) X is continous. Because X follows uniform distribution.
b) Expected value of X = (110 + 0) / 2 = 55