a. What value of c will make f(x) a valid density? b. What is P(X = 1)? What about P(X = 1 or X = 2)? c. Find E(X).
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![2. Let f(x) = cx³ and Sx = [0,2] (X is continuous).
a. What value of c will make f(x) a valid density?
b. What is P(X = 1)? What about P(X = 1 or X = 2)?
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- The distribution of the heights, x, in meters, of trees is represented by the density function p(x) in the figure below. fraction of trees/meter 0.05 p(x) Enter the exact answers. 20 z (m) Calculate the fraction of trees which are: (a) Less than 5 meters high The fraction of trees less than 5 meters high is i (b) More than 8 meters high9. Find the mass of a car antenna that is 3 ft long (starting at x = 0) and has a density function of p(x) = 3x + 2 lb/ftLet fx(x) = 1/3, 0< x < 3, 0 elsewhere. Let Y = X². 1. Find fy(y), the pdf of Y. 2. Find E(Y).
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