The error involved in making a certain measurement is a continuous rv X with the following pdf. So.09375(4-x2) -2 sxs 2 otherwise

Q: Evaluate  52C5

A: The given expression can be evaluated by using the combination formula:

Q: 5.1-4. Let X have the pdf f(x)= xe-/2, 0 < x < 00. Find the pdf of Y = X²

A: Given: Let X have the probability density function fx=xe-x2/2, 0&lt;x&lt;∞

Q: 2x,0 < x <1 Let f(x) = 10, otherwise (note that X is continuous). a. Calculate E(X): b. Calculate…

A: The question is about to find expected value, variance using given p.d.f Given : f(x)= { 2x…

Q: Suppose f (x) = 8x, 0 < x < 0.5 is a pdf. P(0.2<X<0.3)=? O 1.6 O 0.2 O 0.16 O 2.4

A: Givenf(x)=8x      0≤x≤0.5

Q: Find the derivative. [미 In dx x +3 x-3

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Q: The first derivative is outlined in orange. The second derivative is outlined in blue. My question…

A: Please rate

Q: If the side of a square X is random with the pdf fX(x)=x/8, 0 < x < 4, and Y is the area of the…

A: The given data: fXx=x8                   0&lt;x&lt;4 Let, Y=gX=X2  Since X is a continuous random…

Q: Let f(x)= (x²e* )/2 for x> 0, and zero otherwise. Show that f(x) is a pdf. b. Find the mean. Hint:…

A: The given function is:

Q: Subject R/ Pind the derivatine o f the following

A: Derivative of the function

Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

A:

Q: Let X ~ Exponential(1). a. Find the conditional PDF and CDF of X given X > 1. b. Find E[X|X > 1]. c.…

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Q: Suppose f (x) = 8x, 0 < x < 0.5 is a pdf. P(X=0.3)=? O 2.4/0.5 О 0.36 O 2.4

A: Result  If f(x) is the continuous distribution then  P(X=c)=0