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# 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: 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.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: 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.

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: 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.

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