Let S = {2x, 1 – x, x² + x – 1,x + 1,x – 2}. Then %3D P3 P2

Q: A random sample of X1,X,, X,...,X, have mean E(X,)= µ and Var(X,)=o². Given the value of §² ¿(x, -…

A:

Q: Find e* + x-2 + C e* – 1+ C + C (1/2)x² e* – In |x| + C

A:

Q: Find 版+7V d 3 C. 3 Vx4 + 4 Vx7 + c 25 x4 + 4 Vx7 + C 20 3 3. Vx3 + 4 Vx4 + C Vx3 20 + 4 Vx4 + C 25 O…

A:

Q: Q5. In the following diagram: H: μ-4; Η: μ = 1. (X) Ho H XD Rejection region Non-rejection region

A: Given: H0: μ=4H1:μ=1 The graph is as below

Q: b. Evaluate for y if x = 2.3 and z = -1.5. Round to 2 decimal places. Y =

A: Given that: x=1+yyz

Q: Let f(x)dx = 4, S f(x)dx = 7, S, f(x)dx = 6. -7 Find S f(x)dæ -8 and S(4f(x) – 7)dx = -8

A:

Q: Match the followings. A. 0.525 B. 2.43 C. 1.61 D. 0.255 E. 0.235 select 1. P(X=3)%3D select 2.…

A: For the given Information, drawing the pdf table : Let X denotes the random variable representing…

Q: X and Y have the following joint distribution: 2 1 2c Y 2 c/2 Find COV(X,Y). A) – B) - C) 0 D) E) {…

A: Given Data     x   y   1 2 Total 1 c 2c 3c 2 c/2 c 3c/2…

Q: X is a continuous random variable having p.d.f. f(x) such that f(x) = kx2 Osxs5 otherwise Find : (a)…

A: According to our guidelines we can supported to answer only first three subparts   Given

Q: Let X denote the number of colleges where you will apply after your results and P(X = x) denotes…

A: Given: PX=x=kx               x=0,12kx             x=2k×5-x    x=3,40                otherwise

Q: 0, elsewhere. Find the expected value and the covariance of g(X) = 4X + 3. %3D

A:

Q: 27-17. If r; is the correlation coefficient between X; and X; ; i, j = 1. 2, 3. prove that r12 + r23…

A:

Q: Suppose that X is normally distributed with u = 10 ando 2. Find P(IX 10|S3)

A:

Q: Let X1,.,Xn be i.i.d with n 2 6, E(Xi) > 1 and Var(Xi) > 0. X1x2 and X3X5 are then. (A) not…

A: Here, X1, X2,........Xn are i.i.d with n≥6 with E(Xi)>1 and Var(Xi)>0.

Q: Find Pr (0 < X1 <1/3,0 < X2 < ½) if the random variables X1and X2have the joint p.d.f. S(X1, X2) =…

A: From the given information, fx1, x2=4X1(!-X2), 0&lt;X1&lt;1, 0&lt;X2&lt;1 Consider, P0&lt;X1&lt;1/3,…

Q: Let X ~ Exp(2). Find a real number a E [0, 1] such that the events {X € [0, 1]} and {X € [a, 2]} are…

A:

Q: 4. For each z-score b X a) z=1.17 %3D X b) z =-1.37

A:

Q: C/ If x is a normally distributed for continuous random variable with " = N+5+G and o = N+3. Find…

A: Given,G=1N=27Mean(μ)=N+5+Gμ=27+5+1=33Standard deviation(σ)=N+3σ=27+3=30

Q: Find the most general antiderivative. x2 xp O 25 - +C 2x - +C O - 2% + C 2 2

A: =&gt;x^n dx = x^(n+1) / (n+1) + c

Q: (b) k(x) = |æ| + |x – 1| at c1 = 0 and c2 = 1.

A:

Q: k k Ans. F(s)= 12) s(1+ea) 0 a 2а За 4а

A: Need to find laplace of given function

Q: Find: S x² √√x – 3 dx =? A. (x-3) - (x − 3) ²/7 = 2 − 3)² + 6(x − 3)² + c B. ² (x − 3) − § (x − 3) %…

A:

Q: Evaluate (x - 4y + z) ds. S: z = 5y, 0 s x s 4, 0 sysx

A:

Q: If the random variable X has the pelf Find a) P(-1 ≤X <14) X 20) b) E(X(2-3X)) f(x)=(X-31/10),…

A: Solution is given below

Q: In a random sample of n pairs of values of X and Y,(xi, yj) occurs fij times for i = 1, 2, ... ,r…

A:

Q: W = {(x, y, z), x² +y² + z² < 1}

A: W is not a subspace

Q: q12 If the correlation coefficient 0<r <1 Then r is r is O positive O negative O undefined otherwise

A: Here we want to know correlation coefficient is

Q: 3 Find Ay and f'(x)Ax for y = f(x) = x°, x = 3, and Ax = 0.03.

A:

Q: 2 (4)F(s)= %3D s² (s +4)

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: (3) Let X = n(µ,4) and Var(2x) = E(4–7x) find µ. %3D

A:

Q: Let D = {x² + y² ≤9, x² + y²-5 ≤z ≤ T= {0 ≤p ≤ 3, 0 ≤0 ≤ 2π, n

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: (13) Let E (X|Y = y) = 3y and var(X|Y = y) = 2, and let Y have the p. d.f. re-y if y > 0 f(y) = lo…

A:

Q: Random variables X and Y are connected through pgf ¤x(s) and Vy(s) by the relation x(s) = s¥y(/s)…

A:

Q: E(x)=3, var(x)=10 z=4+0.4x Find var(z) and E(z)

A: Given : Ex = 3 varx = 10 z = 4 + 0.4×x varz = var4+0.4×x varz = var4+var0.4×x Variance of constant…

Q: Q2/(a) Let X be a random variable with p.d.f. -2 kx 1<x<0 f(x)=< find k. O.w

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: ind E (XY ) wvhere X and Y are independent U (0, 1) random variable=

A:

Q: (b) Let X be a random variable with p.d.f. 2e-2x f(x) =• 0<x<0 find (1) E(x) (2) Var(x) O.W

A: Given the random variable X with p.d.f as fx2e-2x                  0&lt;x&lt;∞0…

Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

A:

Q: 5. If X-Beta(a, ß) show that E(X) = and Var(X) : aß (a+B)=(a+B+1) a+B

A: We have to show that X follows beta distribution then find expectation and variance of x with alpha…

Q: The probability of the joint event {x₁ < X ≤ x₂, Y₁ <Y ≤ y₂} is given as P{x₁ < X < x₂, Y₁ <Y ≤y₂} =…

A:

Q: ral of the d D- 1)y is

A:

Q: [F(x, х, х, х) — х] (х— х) — b K5 x- e-d <{x- [Ks – 1] (e– d) S {* x (е- d) [Кз — 1]—Ь e- d | | 1…

A: Algebraic identity: Algebraic identity for the square of the difference of any two algebraic…

Q: H.W:- Let x be a discreat random variable whose p.m.f If E(x)= 0.5 -1 2 P(x=x) Find the: a 0.3 1.…

A:

Q: (c) 부3D . Yk+1 k+1 Yk k

A:

Q: Let X1, X2, . . . are independent indicator variables with different probabilities of success. That…

A:

Q: 4. If u = f(x), then k +C for some constant k. dx = x* + 2x2 + 1 x² + 1 Compute kf (1). (a) 4 (b) –…

A:

Q: What is S (x² + 2x)² dx? + x³ + ³x² + C 4 S (x² + 2x)²dx = ¹x¹ + x³ + 4 f (x² + 2x)²dx = (x² + 2x)¹…

A: We know, ∫xndx= xn+1/(n+1)

Q: Let E(X|Y = y) = 3y and var(X|Y = y) = 2, and let Y have the p. d.f. se-y if y>0 fG) = {o 0…

A: Given information: The probability density function of Y is: f(y)=e-y  if y&gt;00      otherwise…

Q: H.W:- Let x be a discreat random variable whose p.m.f If E(x)= 0.5 -1 2 P(x=x) Find the: a 0.3 1.…

A: