Given a marginal p.m.f of x: f₁(x) (x) = { // , for x = 5,6 0 O.W and a marginal p.m.f of y: f2(y) = {for y= 1,7 Then the values of (k) and (c) are k=30, c=7O k=2, c=8 O k=11, c=8 O

Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: If X1, X2,. . . ., X, ~ N(22, o²) and S 4, then P(X < 23.863) %3D Select one: O a. 0.975 O b. 0.99 O…

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Q: Two students are named to present their work from a class of 12 students: 3 from electrical…

A: Total = 12 students  Number of electrical = 3 Number of tele com= 5 Number of computer = 4 X: Number…

Q: Let v = [1] and let z = [¹] x The Projx is equal to k k [21] where

A: Our objective is given below:

Q: 5.16] Use the function f (x) = xe¯ ¯x² to find fave on [0,4] %3D

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Q: 4. Let S = {-1,0,2,4,7}. Find f(S) if а. f(x) — 1 b. f(x) = 2x +1 %3D c. f(x) = |*/s] d. f(x) = [x*…

A: Given:S={-1,0,2,4,7}

Q: 2. A stock market trader buys 100 shares of stock A and 200 shares of stock B. Let X and Y be the…

A: Given: X=-2,-1,0,1,2 Y=X±1 Here possible pairs of x,y=-2,-1,-2,-2, has totally 5×3=15. Joint PMF of…

Q: 2. Suppose Y is G-measurable. Prove that Var(Y/G) = 0. %3D

A: Given that Y is G-measurable.

Q: Given a p.m.f. f(x) of a d.r.v. x as follow: x = 1,4 f(x)=5 0 O. W

A: Moment Generating Function (MGF) The moment generating function (MGF) of a random variable X is a…

Q: ! Given a p.d.f. of a c.r.v. x as follow: f(x) = {3x² 0<x< 1 " 0. W y = 3x, then the p.d.f. of a…

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Q: f(x)=8x¹-7x³+2 on [−2,1]

A: To compute the average value of the given function f(x)=8x4-7x3+2 on [-2, 1]

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 |x| over the interval…

A: fx=12-x As we know  ⇒x=-xit x&lt;0xif x≥0

Q: 1. Let x = 1.442 and y = 1.450. Compute the relative error in x ☺ y = fl(fl(x) – fl(y)) using…

A: Consider the provided question, x=1.442 and y=1.450 we need to compute the relative error in…

Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: Which of the following statements is always true (select all that apply)? Р (AUB) — P(A) + Р (В) Р…

A: The probability of an event is the chance of occurrence of that event.

Q: In one of his Subsidiaries, sheltron, gasoline is stocked in a bulk tank each week. Let x denote the…

A: Given that  X: proportion of tank's capacity stocked per week Y: proportion of tank's capacity sold…

Q: Suppose that the function f(x) is continuous everywhere. Suppose further that the points (x, y),…

A: The interpolation techniques are used to establish the functional relationship between any two…

Q: Consider the nodes: X1 = -2, x2 = -1, x3 =0, X4 =1, X5 = 2. Which of the following polynomials is a…

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Q: L. (10 pts) Given the function (x) on each of the following i a. [1, 2] b. [1, 17 c. [1,- 16

A: Given function - f(x) = 2x-1Average rate of change of a function is given by the formula =…

Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…

Q: 22) let XnN20, 036), iF P(X<W) = 0.05 th the value of wis

A: Given that, X~N(μ=20, σ=0.36) To find the value of W when P(X&lt;W)=0.05

Q: Consider y=xsin(pi)x over [0,2] Verify the mean value that applies and find all values c satisfying…

A: Find values of c satiating the Mean Value Theorem

Q: suppose that X~N (2, oʻ), AP (2<X<4) =0.3, then P(X<0)= A.0.3 B.0.2 C.0.8 D.0.1

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Q: Let X=(1,0, – 1,-V2)'. Then, ||X||2 = Select one: а. 3 O b. 4 C. 2 O d. 1

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Q: | y(y? + 1)5 dy

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