A farmer looks at the latest Almanac and finds that there is a 15% chance for a long hot summer and a 10% chance for a wet summer. A nice average summer will provide the farmer with a profit
of $100,000 on his harvest. He knows that a hot summer will dry up his crops and his harvest will
only be $3.000. He also knows that a wet summer will rot his crops and his harvest will only be
$5.000. Find the expected value of the farmer's harvest?