Then P (X + Y ≤ 1|x ≤) is:

Q: Suppose P[X] = 0.4, P[Y ] = 0.27, and P[X ∪ Y ] = 0.52. Find P[Y | XC]. Where XC means the…

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Q: Suppose Sd(X) = 0. Let Y = aX, show that Sd(Y) = |a|o. : Ja| is the absolute value of a.

A: From the provided information, Sd(X) = σ Y = aX Now,

Q: Find a value of c so that P(Z ≤ c) = 0.74.

A: Find a value of c so that P(Z ≤ c) = 0.74.

Q: Find a value of c so that P(Z ≤ c) = 0.65.

A: According to the given information in this question We need to find the value of c such that P(Z ≤…

Q: Evaluate Va? + y? dA where R= {(x, y)|1< x² + y² < 4}. 4.

A: We will convert this into polar coordinate so it will easy to calculate this We consider…

Q: Prove that P[X |Y ] = (P[Y | X] · P[X] ) / P[Y]

A: From the definition of conditional probability, for two events X when Y is given PX|Y=PX∩YPY

Q: A college is composed of (0.25) men and (0.75) women. It is known that (0.60) of men and (0.20) of…

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Q: Suppose that A,B⊂S such that Pr[A|B]=25, Pr[A]=12 and Pr[B′]=12. What is Pr[B|A′]?

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Q: Let p(x) = 5x² – 3x + 2 and suppose that y 1 0 A = |0 1 0 0 y for some y E R. Evaluate p(A).

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Q: 4. Prove that, VR, -11-

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Q: 2b. In R show that : || x - y || || x + y || ≤ 11x11 ² + 11y11²2² -(1

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Q: Determine L−1[F(s)]for the given F. Q) F(s)=s+4/s2+6s+13

A: Consider the given function: Here the objective is to find the Inverse Laplace Transformation of…

Q: ind a value of c so that P(Z ≤ c) = 0.47.

A: given data standard normal distributionZ~N(0,1)P(z≤c) = 0.47c = ?

Q: Let x = [1, -3, 2]T. Find ||x||₁, ||x|4, and ||×||∞·

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Q: 2. Give an example of a domain U and predicates P and Q such that is true but is false. (Vxe U,…

A: 2. Given that  a domain U and predicates P and Q such that                    ∀x∈U, P(x)→(∀x∈U,…

Q: Let (X, E) be a measurable space and E e E. If E1 e £ is such that E1 C E and ƒ is measurable on E…

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