Question

An article in The New York Times reports that several hedge fund managers now make more than a billion dollars a year. 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.


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  • CreatedJune 03, 2015
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