If X follows the following probability distribution: .20 2 <X <3 f (x) = .60 3...

If X follows the following probability distribution:

.20 2 <X <3
f (x) = .60 3 <X <4
.20 4 <X <5
0 for other X’s

a. Calculate the cumulative probability function of X and make a reasonable graphical representation. (15 pts)
b. Calculate the expected value of X and the Variance of X. (15 pts)
c. Calculate the probability that X is between 2.40 and 3.80. (10 pts)
d. Calculate the percentile of 70 percent. (10 pts)
e. If g (x) = 10-3x, find the expected and variance of g (x).

Expert Solution

orchestra answered 3 years ago

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