Let X and Y be two independent r.v.s with the following MGFs:Mx(t) = 1/1 − 4t for t < 1/4 , and mY (t) = 1/(1 − 4t)^3 for t <1/4(a)  Find the MGF of X + Y and simplify.(b)  Find E((X + Y )).(c)  Find Var(X + Y ).

Q: Find f(t) if L (F) equals 20 3 S-2TTS

A:

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: For the function f(x) = X2V5 – x %3D Also find the following: 1- The max. and, min, and inflection…

A:

Q: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: The population of persons infected by Covid-19 virus is known to increase at a tate proportional to…

A: Solution Given The population of person infected by Covid-19 virus is known to increase at a rate…

Q: For the function f(x) = 3+x find f"(x). Then find f"(0) and f"(3). f"(X) = Select the correct choice…

A: This question is based on second derivative of given function.

Q: | f(x)dx = 12 and f(x)dx =3.1, then J f(x)dx =

A: Use formulas of limits of integration

Q: d x° In x C. dx d [x3 d In x+ 3 [In x] -. 3 dx 3 dx

A: Given:

Q: 2 [+√²-1)dx (4) »

A:

Q: 4. Let f(n) be a negligible function and k a positive integer. Prove the following: (a) f(/n) is…

A: a Let fn be a negligible function and k a positive integer. Since fn is a negligible function. So,…

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A: We are given that           v(t) = rate of video-hours uploaded per year               = 1.1t2 -…

Q: Differentiate the following function. 6x2 +5 y= x2 +1

A:

Q: The critical points of the function f(x)= 4x³ – 48x +1 a O a. [1 -1) Ob. (2.– 2} c. 12'2 o d. 4,– 4}

A:

Q: Find zα/2 for α=0.19.

A: Given: α=0.19

Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

A:

Q: It has been determined that the number of fish​ f(t) that can be caught in t minutes in a certain…

A:

Q: Calculate L6 for f(x) = V6x + 2 over [1,3]. (Give your answer to three decimal places.) L6 2

A:

Q: Find the antiderivative of x/15x-14

A:

Q: For a given function f(x), the divided -differences table is given by: flxo) = a flx) -b Xa = 1 1 1…

A:

Q: dx 4. [(x-1)2+1]2

A:

Q: (B) For the following data in table: 50 618 x /(x) 100 724 150 805 Find f(160) by using: L First…

A: The question asked by you are three different questions, so according to the rule I solved the first…

Q: Two piecewise functions are shown below. -3x for x 2 S x +2 for x 2 What is the value of…

A: