Let X be a N(0,36) normal random variable. That is the pdf of X is a) Find P[-10 < X < 5.5] b) Find the probability density function of W = (X/6)^4

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Q: |If the expected value of the random variable X is 1/3. Find the values A and B.

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Q: Let P(A) = r and P(B) = s with AN B= p. Then P(A\B) equals Select one: а. 1 b. 1-5 C. 0 d. r

A: NOTE:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A: The density function of Y is given by, f(y) =  a (b-y) , 0&lt;y&lt;b Hence, ∫0ba(b-y) dy = 1…

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A: For the given data ( a )P(X&lt;2.5) =? ( b ) P(1&lt;X&lt;2.5) =? (c ) Mean =? Variance =?

Q: 4.ry 0<r< 1,0 < y <1 f(r, y) = elsewhere Then P(0 < X < 0.5,0 < Y < 0.5) = (a) 1/16

A: Here, we have a joint pdf,  f(x,y)=4xy  , 0&lt;x&lt;1, 0&lt;y&lt;10     ,  otherwise

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Q: b) The probability density function of random variable X is given as: if 0<x<1 otherwise (A– Bx the…

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Q: 2. Let X be a continuous random variable with probability density function (pdf) [3x² 0<x<1…

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Q: Pb (Z = z) = B (8.25z - z2) with z E {1, 2, ......, 5}. Find the mean and variance of Z using…

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Q: (2) J ?Q13) Consider the following probability density function, what is the F(14) 0.22 X= 7 0.22…

A: We have given that the probability density function at different values of X.

Q: Let X be a random variable with probability density function Sex 0<x<1 otherwise f(x) = 0

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