Find the cumulative distribution function of x

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Reference no: EM131370648

Find the mean, variance, and standard deviation of the annual income of a hedge fund manager, using the probability distribution in given problem.

Problem
An article in The New York Times reports that several hedge fund managers now make more than a billion dollars a year.2 Suppose that the annual income of a hedge fund manager in the top tier, in millions of dollars a year, is given by the following probability distribution:

x($ millions)	P(x)
$1,700	0.2
1,500	0.2
1,200	0.3
1,000	0.1
800	0.1
600	0.05
400	0.05

a. Find the probability that the annual income of a hedge fund manager will be between $400 million and $1 billion (both inclusive).

b. Find the cumulative distribution function of X.

c. Use F(x) computed in (b) to evaluate the probability that the annual income of a hedge fund manager will be less than or equal to $1 billion.

d. Find the probability that the annual income of a hedge fund manager will be greater than $600 million and less than or equal to $1.5 billion.

Reference no: EM131370648

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