5. The loss of an automobile claim has the following cdf: F(x) 1- 10 exp(--V). -...

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5. The loss of an automobile claim has the following cdf: F(x) 1- 10 exp(--V). - if 0 < x < V, if x > V, where V is the value of the insured's automobile. Calculate the probability that the loss on a randomly selected claim is greater than the value of the automobile. 16. A discrete random variable X with support {1, 2, 3, 4, 5} has the following probability mass function: P = a, p2 = 0.5a, p3a, p4 = 0.25a, p5 = 0.5. Determine the value of a. 5. The loss of an automobile claim has the following cdf: F(x) 1- 10 exp(--V). - if 0 < x < V, if x > V, where V is the value of the insured's automobile. Calculate the probability that the loss on a randomly selected claim is greater than the value of the automobile. 16. A discrete random variable X with support {1, 2, 3, 4, 5} has the following probability mass function: P = a, p2 = 0.5a, p3a, p4 = 0.25a, p5 = 0.5. Determine the value of a.