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A start-up company has 2000 investors, that company loses investors at a rate of 10 per...

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Statistics

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

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