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with all steps 2-8.2 a) For the random variable X of Problem 2-7.1, find the con

ID: 1847308 • Letter: W

Question


with all steps

2-8.2 a) For the random variable X of Problem 2-7.1, find the conditional probability density 2-7.1 Arandom variable is uniformly distributed over a range of 0 to 2n. Another random function f (xIM), where M is the event 0 s Sketch this density function. variable X is related to by b) Find the conditional mean E(XIM], for the same event M cos 2-8.3 A laser weapon is fired many times at a circular target that is 1 m in diameter and it is a) Find the probability density function of X found that one-tenth of the shots miss the target entirely. b) Find the mean value of X a For those shots that hit the target, find the conditional probability that they will hit within 0.1 m of the center c) Find the variance of X. b For those shots that miss the target completely, find the conditional probability that d Find the probability that X 0.5 they come within 0.3 m of the edge of the target. 4 FX (Y) Problem 2-8.3. Assume f a e ax) if x 0 and f X(x)-0 if x

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