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DETAILS MY NOTES ASK YOUR TEACHER Tolls on the Pine Mountain Bridge(PMB) in New York vary by vehicle. Let X be the toll for a randomly selected vehicle crossing the PMB. Suppose X has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution function. x 5 1o 15 20 25 30 p(x) .03 .06 .09 .17 .28 .37 F(X) | .03 b .18 .35 .63 1 a. What is the value of b? b. Calculate the probability that X > 20. c. Calculate the expected value of X? d. Calculate the expected value of X2 e. Calculate the variance of X? f. We randomly and independently select 4 different vehicles crossing the PMB. What is the probability that each of the 4 selected vehicles pays $30? 9. We randomly and independently select 4 different vehicles crossing the PMB. What is the probability that the the minimum toll paid by any of the selected vehicles is greater than 15? h. h) Suppose the Tolltakerjs union receives 12% of all tolls collected. On average, how much does the Union collect for each vehicle crossing the PMB? Add any comments below