5. If the characteristic function of a continuous RV X with density function = S ø(@) e-ix@ dø. 2 f(x) is ø(@), then f(x) :
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Prove the property
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- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.The density function of X is given by f(x) = a + bæ, 0 < x < 1. (1) If E(X) = }, find a and b. (2) Find V(X)Let z= x+iy and determine where the function f(z) = Log(z2 + 1) is holomorphic. What is its derivative in the region where it is holomorphic?
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