Let X = {1,2,3}. (1 2 3 ) give a) For a (3 2 give a321

Q: 27 Find (all) the value(s) of c such that 3c 3can - 8. n=0 (A) c= 3 (B) с%3D 4 (C) c = -}, (D) c = }…

A:

Q: Let A = {x E Z: 8lx) and let B={xEZ:12lx}. Then BC A A=B O ACB O None of these

A: using the concept of set theory...

Q: Equating the coefficients of corresponding powers of t gives 2/3(13A2 + 2) = 10A2 + 1, (2.200)…

A: 2313A2+2=10A2+1   .....(1)2935A3+10A2=10A3+2A2     ...(2) We need to solve the equations to find the…

Q: 1 リ=ス,メ=0; Xe2, y=or abt. A the x- Axls

A: Given

Q: Find all values of z for which z* + 2 – i2v3 = 0 and represent them geometrically.

A:

Q: (a) Show that xn → x and Yn →y implies Xn + Yn → x + y and also show that an -→ a and Xn → ax. → x…

A:

Q: Find AT and A-1 and (A-1)T and (AT)-1 for [1 0 A : 9 3 1 and also A c 0

A: A=1093 and A=1CC0We need to find AT ,A-1 ,(A-1)T,( AT)-1For any matrix A=abcdA-1=Adjoint of A…

Q: If $ = 2xy?z + x²y, evaluate $ dr where C 3 from

A: Given, ϕ=2xy2z+x2y, We have to evaluate ∫Cϕdr where C(a) C is the curve x=t, y=t2, z=t3 from t=0 to…

Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

A:

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: -4 c4x Evaluate . So S dydx.

A:

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: 2) FIND THE INTERVAL OF CONV. * (x-1)^" 2 (n+i) n=0

A:

Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

A:

Q: (3) Let X n(µ,4) and Var(2x)= E(5-8x) find u.

A: Given that X follows normal distribution with mean mu and Variance 4 E(X)= mu Var(X)= 4 Given that,…

Q: IfY C X, show that inf (X) < inf (Y)

A:

Q: Σ n=1 5n Vn3 +1

A:

Q: If z̟z2=0 →Zz=0 _or z,=0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: Find the value of c such that enc = 5 n= 0 C =

A:

Q: Find the value of t so that t 4 -4| 2 3 3=4 4 5 0

A:

Q: If H(r) = 1- 3.r – 3.r2 +6.x is the Hermite interpolation for %3D 0 1 the data in the table f(r) b1…

A: To perform Hermite interpolation with the given data.

Q: Find all values of n such that y = xn satisfies x2y" - 12y = 0

A: To solve the equation x2y''-12y=0, we first need to find y''. y'' can be obtained by differentiating…

Q: Let X P(A) and E(3x)= E(2– 6x) find a.

A:

Q: Find d In x +1, -1 x² – 1 x² – 1 1 2.

A: Before start solving it we will apply following log property in it.  1. lnxn = nlnx 2. ln(a/b) = lna…

Q: A national consumers’ association determines that x years after its founding in 1998, it will have…

A: Given: P(x)=2x3-45x2+264x(a) Since between 2000 and 2013 (2≤x≤15)P'(x)=ddx(2x3-45x2+264x)We know…

Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: If Var(X+Y)=5, Var(X-Y)=2 and E(X)=1 and E(Y)=2 then Cov(X,Y)= (3/4 (1/4 (4/B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Suppose we observe X1, X2, ..., X U (0, 1). Show that nX(1) 4 Exp(1). с.

A:

Q: If |z-8 <, and ly-히 < , then a - y < 1. 2'

A:

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

A:

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: Let S be the set of integer solutions to the equation x1 +x2+x3+x4 = 30, where x; > 0 for i = 1,2,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: B (m,n) =. x"-1 (1-x)n-1dx صوابه

A: TRUE

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

A:

Q: Find the value of c such that E enc = 4 n = 0 3 1n 4 C =

A:

Q: Let A = [0, 1] × [0, 1] C R². Suppose

A: (b) Given, A =0, 1×0, 1⊆ℝ2 and f : A → ℝ is continuous on A (relative to A)       Define F: 0, 1→ℝ…

Q: х - у х-2 У — w 0 0 y - w w 0 8 (х, у, 2, w) %3D

A: The given matrix equation is, x-yx-zy-ww=0008 This, matrix equation results in the system of 4…

Q: 3. Suppose that the pmf of X is x-1 1. p(x) ,t = 1,2, 3, . 3 3 Find the mgf of X.

A:

Q: (9) Let X z b(n,) and E(3x) = E(3– 5x) find n.

A:

Q: Verify that Al2 = I½A = A for an arbitrary A E M2x2(C).

A:

Q: Let X- B(25,0.2). E(X²) =

A:

Q: Let f (x) = -2r, de fined on -1, 1], then L (P ) = 2 (n– 1) 2- 4 (n+1) 4 (n – 1) 4 (п-1) 2n2

A: We need to find the lower Riemann sum

Q: Qf Ify 3xel, Then at x 0 is 3.

A:

Q: The characteristic of Zs[x]/ is 6. 3 O None of the choices

A: The characteristics of the function

Q: Let ř =xi+y+ zk, and let u= ||F|I. 2-2u = 3ue. Show thet Dflu)= 6- 6u)e" r.

A: Given, fu=3u2e-2u. We have to show that ∇fu=6-6ue-2ur→ where r→=xi^+yj^+zj^.

Q: Suppose that X ~ Unif(-1,1). Compute (d) P(X = 0.5), (e) P(X² > 0.5).

A: Let ,  The pdf of X is ,  = 0 ; otherwise Our aim is to find the following :  d) P(X=0.5) e)…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!