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13. If X follows the following cumulative probability distribution: 0 X≤5 0.10 (X-5) 5≤X≤7 F (X)...

13. If X follows the following cumulative probability distribution:
0 X≤5
0.10 (X-5) 5≤X≤7
F (X) 0.20 + 0.20 (X-7) 7≤X≤11
1 X≥11

a. Calculate a probability function f (X) (10 pts)
b. Calculate the expected value of X and the Variance of X. (15 pts)
c. Calculate the probability that X is between 6.0 and 8.80. (10 pts)
d. Calculate the percentile of 70 percent. (10 pts)
e. Calculate the expected g (x), if g (X) = 2X-10 (15 pts)

Math   Statistics-And-Probability   
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