A start-up company has 2000 investors, that companyloses investors at a rate of 10 per year. Every time the companyloses an investor, the company gets a loss of $200,000. For everyinvestor that remains the company makes a profit of $2,000. Let Fbe the total earnings the company makes in a year, and X be thenumber of investors the company loses.
1)Write a function that calculates yearly earnings F asa function of X
2)Find P(F < 0), the probability that earnings arenegative
3)E[F]
4)What is the probability that the company loses exactly5 investors in a given year, given that they have not lost anyinvestors in the first half of the year
