Example 9-52. Let X, X2, ..., X, be i.i.d. non-negative random variables of the continous type with p.d.f. f () and distribution function F(-). If E I XI < o, show that E | X I <.

3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20-second time period, is characterized by the following discrete probability function: 6x f(x) = e-6, for x = 0,1,2, ... a) Find the probability that in a specific 20-second time period, more than 8 cars arrive at the intersection.

6. Let X1, X2, ...X100 denote a random sample of size 100 from an exponential distribution with mean 1. Let Y equal the sum of all the X's. Approximate the probability that Y is greater than 110. |