[Uniform distribution, p.d.f., expectations] A random variable X has a uniform p

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[Uniform distribution, p.d.f., expectations] A random variable X has a uniform p.d.f. given by= J UGT &JxK; ' 0, other x Show that U0 = (b - a)~1. Show that the mean value of X is X = S(X) = i(a + Show that the variance of X Ls a = S {(X - X)2} = -^(b - a)2. Now we revisit the "landing point of a tire" problem in HW 1-1 (Problem 6). [The homework set is stillposted if you have lost your copy of this problem. What is the expected value of the random variable 0 which models the angle of the point of contact of the tire with the road? Answer: 0 = n. What is the expected squared deviation of 0 from its mean value?.

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[Uniform distribution, p.d.f., expectations] A random variable X has a uniform p

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