Problem I) Given the random variable, Yhas the following CDF: Fy(y) 1 0.75 0.5 0.25 a) Find Pu(u). b) Find Fu(u). c) Find E[U]. 0 0 1 2 3 4 5 y Let U= g(Y)=Y² evaluate the following: 0.25 Fy(y) = 0.5 [1 y<1 1≤y<2 2≤y <3 y≥ 3

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (2c) Prove or disprove the following statement: “ A UBCANB for any A and B "

A:

Q: Prove the following statement: (Vx € Z) (3y = Z) (x + y = 0)

A:

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: Using the p-value method, we reject the null hypothesis if the p-value is ___________than or equal…

A: NOTE When p-value≤α=level of significance, then we reject the null hypothesis. When…

Q: Prove that: (5a + 6b|a, b = Z} = Z

A: To prove that .Concepts used:Consider two sets  and . To prove that , we first need to show and…

Q: Let a, b, n E Z. Prove: If a|n and b|n with gcd(a, b) = 1, then ab|n. (I

A:

Q: Evaluate (t – 4/i +t-')dt

A: Given : ∫t -4t + t-1dt

Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: Prove that OfVg.dr = ] (Vfx Vg) · N ds.

A:

Q: Prove the following statement: (VxR) (x 0 ⇒ (y R) (xy = 1))

A:

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

A:

Q: 8.Show that for nZ. 13.3.-(21-1) 2n 2.4.6..2n.

A: We have to prove given result:

Q: ). Find 1 |z-j|=2 Z

A:

Q: 2.2.12 Prove that if x and y positive real numbers, then Vx+y # Vx+ Vy. Argue by contradiction. are

A: Let x and y are positive real numbers. Also let x+y=x+y Now squaring on both side,we get…