1. In studying endangered species, scientists have found that when animals are relocated, it takes x years without offspring before the first young are born, where x and the probability of x are given in the table. What is the expected number of years before the first young are born?

2. A charity sells 1000 raffle tickets for $1 each. There is one grand prize of $250, two prizes of $75 each, and five prizes of $10 each. If x is the net winnings for someone who buys a ticket, then the table gives the probability distribution for x. Find the expected winnings of someone who buys a ticket.

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3 2 1 Pr(x) 0.04 0.35 0.38 0.18 0.05 х х Pr(x) 0.001 Pr(x) 0.005 249 -1 74 0.002 0.992