Suppose that X has density fx (x) = * for 0 < x < 3 (and fx (x) = 0 otherwise). and suppose that the conditional density for Y given X = x is fyjx (y | x) = x4 4y³ * for 0 < y < x (and fyx (y | x) = 0 otherwise). Using the Partition Theorem, or otherwise, determine P (Y < 2).

Q: What is the value in simplest form of the following expression? V1 +v1+3+ v1+3+5+ /1…

A: 1+1+3+1+3+5+1+3+5+7+......+1+3+5+...+99

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A: Given that  if x=4,8,3,-2

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A:

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Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

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A:

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

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Q: Remainder must always be either less than or equal to the divisor. true or false

A: Remainder must be either less than or equal to the divisor . The above statement is true .

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A:

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A: Differentiation

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A:

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A:

Q: 10 Find whether A and B are independent in the following cases: (AB) = 256 ; (.B) = 768 ; (AB) = 48…

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Q: Let a, b, c ∈Z+.    If  a | b and a | c then a | ( b + c )  true or false?

A: Use the definition of divisibility, to express b and c in terms of a. a|b⇒b=maa|c⇒c=na Therefore,…

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A: Given a number is very close to zero. Another number is also very close to zero. Let α&gt;0 is very…

Q: 5x plus 6 < 17 find the smallest integer value of x

A: Solution ) -5x + 6 &lt; 17  [ SUBSTRACTING 6 FROM BOTH SIDE ]  -5x + 6 - 6 &lt; 17 - 6  -5x &lt; 11…

Q: 1. Evaluate: xydydx

A: The given integral

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: Given F= {-10, v-5, 1.567, 0, 20, v144}, identify the s a) whole numbers b) integers c) rational…

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A: Given that m*n=2m-n2 therefore -3*5=2-3-52

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A: Given a function  where  called signum function is defined as To evaluate the following:

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A:

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…