1 Continuous random variables (a) Consider the function x € [1,4] - cx f(x) otherwise. Is there a value of c which makes this a valid probability density function? (Make sure to explain your answer.)

Q: 5. If f(x) = C x exp(-5x?) for 0 4)

A: The given probability density function is, fx=Cx exp-5x2    ; 0<x<∞0…

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Q: (c) Find the conditional probability density function fy|x=r (d) Are the random variables X and Y…

A: We have to find the conditional pdf of Y given X. For this we have to find the marginal pdfs of X…

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A: The Joint PDF of X and Y  is :f(x,y)=3x2+4y320≤x≤2,0≤y≤2

Q: Let X be a continuous random variable with probability density function (PDF) given by Scx? |x| <1…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

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A: I solved exactly 3 subpart of given question... because of bartleby policy. If you want more please…

Q: Find k such that the function is a probability density function over the given interval. Then write…

A: Answer:- Given probability density function                  f(x) = kx ,    [10, 70]…

Q: 1.The continuous random variable X has the probability density function. The diagram below shows a…

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Q: Let X be a continuous random variable with density and distribution functions f and F, respectively.…

A: This is a problem of random variable and distribution.