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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx2; [-1, 2]Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) = kx; [2, 4]
- Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx; [2, 3]Suppose the joint probability density of X and Y is fX,Y (x, y) = 3y 2 with 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 and zero everywhere else. 1. Compute E[X|Y = y]. 2. Compute E[X3 + X|X < .5]Suppose that the unknown X is ≥ 2 and has the probability density function fX(x)=Ce^−x,x ≥ 2.What is the numerical value of C?
- If X is a continuous variable in the range 3 > X > 0 and its distribution function is as follows: F ( x ) = k : ( x3 + x2) find the probability density function?2. Identify the probability density function, then find the mean and variance without integrating. b. f(x) =1/6 e^−x/6, [0,∞) c. f(x) =1 / 3√2π e^−(x−16)^2/18, (−∞,∞)