(a) Check Y (t) for stationarity (b) Check Y (t) for ergodicity.

Q: Adult Americans were asked if they felt that food packaging labels were truthful. Sixty-seven…

A: GIVEN DATA P( felt that food packaging labels were truthful) = p = 0.67 sample size (n) = 90 x = no.…

Q: Let X x b(n,-) and E(3x) = E(3-5.x) find n.

A: Given X ~ B(n, 12) P(X=x)=Cxn px (1-p)n-x; x=0,1,....n…

Q: (a) Find the nested from of f (x) = tan³x – 3tan²x – 2tanx + 5 and hence find f(2.6) roundoff to 4…

A: We are given  f(x)=tan3x-3tan2x-2 tan x+5⇒f(x)=(tan2x-3tan x-2) tan x+5⇒f(x)=((tan x-3)tan x-2) tan…

Q: Let f(t) = (t-6)4 e3(t-6) u6(t). Find F(s)

A:

Q: Let g(t) -t+ Vt and h(t) = 9t + 4. Find the following. %3D g(h(5)) = h(g(4)) - eSC 14

A:

Q: Show that (a) x(t) * 8(t) = x(t)

A:

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

A:

Q: -altl Find the F.T. of g(t) = e to aso

A:

Q: Find a value of c so that P(Z ≤ c) = 0.74.

A: Find a value of c so that P(Z ≤ c) = 0.74.

Q: 8. Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public…

A: As per the guidelines we are allowed to solve maximum of 1 question. If you need help with another…

Q: LetP(B) = 0.6, P(K|B) = 0.2, P(K|B') = 0.35. FIND THE VALUE OF P(K)

A: P(B)=0.6P(K|B)=0.2P(K|B')=0.35

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

A: Given: X ~ N (μ,4) So, V [X] = 4 V [2X] = E [4 - 7X]

Q: 2- Find f(t) for F(s) = s+4s+20

A:

Q: v(x) = {2(x − r) if (x − r ) ≥ 8 (3(x − r) if (x −r) < 0 a) Represent the value function…

A:

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: he average daily temperature (in ◦ Fahrenheit) in Portland, Maine is given by A(t) where t is the…

A:

Q: 2 Let ƒ(x)=x³, g(x)=x³. If it holds (fog)(x)= (gof)(x)?

A:

Q: At what input value will the function f(x) = v-x- 2 + 2 begin to have real outputs? x = [?] %3D

A: Given that: f(x)=-x-2+2

Q: the p(x). can you ex

A: We know that sum of probabilities is always equal to 1. It is also given that an even number is…

Q: (а) Р(0, 1), t %3 /2 t = (b) Р 2 (с) Р( — 1, 0), t%3D (d) Р 2 2 (е) Р(0, — 1), t 3 () P(- (f) Р 2 /2…

A: a. Given point, P(0,1)

Q: (d) Are X1 and X2 independent? Justify. (e) Compute E(X1) and V(X1).

A:

Q: A special 3-year endowment insurance is purchased by a 50-year old. The benefit paid at the end of…

A: Given, Type of insurance: Special endowment Term of insurance: 3 year K qK+1 bK+1 0 0.05 1000…

Q: If h(t)=t3*4 , then h(2)=?

A: Given h(t) = t^3*4 To find h(2), so here put t =2 to find the answer.

Q: Find the following. u = 3(4, 9) %3D (a) u|| (b) v|| (c) |u+ v|| (d) (e) (f)

A:

Q: Qe if xしz)= 0.5(マ+1) (し2) す! (そ-1)(マ-0.6) |

A:

Q: F(k) = (0.5)* and g(k) = (0.25)* %3| %3D Suppose Find T(8) by using the convolution where T(k) =…

A: Given: fk=0.5k, gk=0.25k for finding value of T8, first we find Tk

Q: Suppose X and Y have the following joint PMF. æ\y_ 1 2 3 4 1/6 1/6 0 1 1/12 1/12 0 1/12 1/12 0 1/6 0…

A:

Q: Find F(s). F(s) = L{t(et + est 23

A: Solution is uploaded below.

Q: A study by researchers at a university addressed the question of whether the mean body temperature…

A: From the given information, the claim of the problem is, "whether the mean body temperature of…

Q: Find F(s). {16e + 1) Wce - 13} (6t + 1) U(t F(s) =

A: We have to find Laplace transform of given function using Heaviside Shift Theorem.

Q: d. Compute E(X) and Var(X).

A:

Q: a) f(t) = esec(20) + In(2t² + 5)

A:

Q: (ミ) (20) %D %3D

A: Given R(z) = 2z2+2S(z) = 3z Then (R∘R)(z) = R(R(z))= R(2z2+2)= 2(2z2+2)2+2 = 24z4+4+8z2+2=…