Suppose X-Geometric(p=3/4) and Y- Poisson(3) .  Find P(X<=2). Find P(Y<4 | Y>=3) .  Assume the variables are independent. Find i. E(X+3Y-2) and ii. Var(X+3Y-2) .

Q: S x4X+1 2

A:

Q: Find the Wronskian for the set of functions.{ex2, e−x2}

A:

Q: 1. O A. 4 +0+ ヤ+LXA 3 x² 1 O B. (x? + 4) /2 - 4x² + 4 +0 312

A:

Q: Suppose that Var(X) = 742.23, Var(Y) = 8890.5, and Cov(X,Y) = 2191.72. What is Var(.51X + .49Y)?

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

Q: (ax-3 (x+4)8 Degreez co EGAelents

A: The detailed solution is given below Thank you

Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

A:

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1&lt;x≤x Therefore, 2x-1&lt;2x≤2x ⇒3x-1&lt;3x≤3x . . . ⇒nx-1&lt;nx≤nx ∴ (x + 2x + 3x…

Q: Evaluate : dx O X+4

A:

Q: iven function

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Find Valume x zO; Ekort the X3D2; 0 about the x- axis

A:

Q: Differentiate the following function. 2 + 6t s(t) = (P-1) (-7) %3D Choose the correct answer below.…

A:

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: EXAMPLE 12 Solving Radical Equations /2r + 7 – x = 2 а.

A: a.2x+7-x=2 adding x on both sides, 2x+7=x+2 squaring on both sides,…

Q: . Let f (x) = 2x + 5 and g(x) = v7x + 4. A. Find (-)(3). Show work. B. Find the domain of the…

A:

Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: Evaluate for: x = -2, y = 4, and z = 16 * J16 - (y +x)? |-2| 6. -14 O 2 18

A: To solve the given expression with  x =- 2, y = 4 And z = 16

Q: A college graduate is looking for a job. It is believed that the chance of getting a job offer after…

A: we have to find variance for geometric distribution.

Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

A:

Q: 3. Suppose X~ Bin(4,2/3). Let Y = 2X+1. Find py (y), and fill out the table below. You may not need…

A: Ans#- Given, X ~ Bin4, 23. Let Y = 2X + 1            Find PY(y)        We know, In the binomial…

Q: for z = In(2® + y*). Find

A:

Q: Find f(3, - 4) if f(x.y) = 4x² + 3xy– 6y +6x- 3y – 7. frox (3, – 4) =

A:

Q: Find f(2 x* - 3 V) dx.

A: Given : ∫2x5 - 3xdx

Q: f(x, y) = .006x, 0≤x≤ y ≤ 10 1. Find the covariance between X and Y. Explain why the sign of the…

A: Given that f  (x, y) = 0.006x      0 ≤ x ≤y ≤10  We have to find the covariance between X and Y

Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

A:

Q: An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. numerator? b.…

A: The degrees of freedom for the F-statistic is, df=(k−1, n−k). The F-distribution has two numbers of…

Q: 6. y = V2x – 3x . Find y'" -

A:

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

A: