Let f:A B be a function and E,C,DCA. If CCD then * f(ČUE) = f(DUE) f(DUE) C f(CUE) %3D the above is true the above is true f(ČUE) C f(DUE)

Q: 1 x₂(1) (2) 1 -1 0 (1)

A:

Q: Зу -2_2у-5 у +3 у+3 О 1

A:

Q: evaluate the vector-valued function at each given value of t.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Minimize z = 5x + 7y S.T x + y = 10 X Z 2 X Z 3 X ≤ 0 X ≤0

A:

Q: x+4 Find | dx (x-2)(x+5)(2x-1)

A: Here we use partial fraction to solve the integration.

Q: 4. A medium-sized company characterized their employees based on the sex of the employee and their…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: True or false

A: Ans : False

Q: → P2 be defined by 18. Let L : L(p) and Dim (Domain(L))? : P4 p". What are Ker(L), Range(L).

A:

Q: A D 23. Which of the following statements about the domain of a rational function is true? O The…

A: We are asked to find which statement is true

Q: If X~ GAM(1,2) then Var(X)= (1 4 (2

A: Suppose X is a random variable having gamma distribution and X~GAM(α,β).Then, Mean E(X)=αβ and…

Q: 4x² +3 Evaluate x² +1 + Arctan x +C 4 O -4x - Arctan x + C O 4x + Arctan x + C O 4x - Arctan x +C

A: We will break it into two parts.

Q: 2+i Evaluate (2x+1+iy)dz along (1-i) to (2+i) 1-i

A:

Q: True or False? If P(∅)=0 y P(A)=0 then A=∅

A:

Q: 6 continuity:- Test the con tinuity of the following faneti or -27 st #x at x=3 nd x=-3 fcx)

A: First we'll find limits at the respective points and then check for continuity.

Q: 4x² – 3 4x2 + 3 Evaluate dx

A:

Q: Prove that there is no permutation a such that al(12) a = (34) (15).

A:

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

A:

Q: X<1 x-y<3

A:

Q: Differientiate the function y= (x²+6) Inlx'th)

A: Given that: y=(x2+6)ln(x2+6)

Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: S Y 4 - (0 (2.4) -4 25 O 3 (-4,1) (4,-1) X what is it called t

A: Given query is to find the point which lies in the solution region.

Q: Cov(x,y)=v(y) if x=y True False оо

A: Given problem Given that   Cov( x,y ) = v( y ) if x = y Ans) True First Option

Q: u = (a) ||u|| (b) ||비| (c) ||u + v|| u (d) (e) u +v (f) ||u + v

A:

Q: Reduce a fraction show all work

A: Consider the provided fraction,

Q: L-1 S (s + 1)²

A:

Q: 1 2(1-z) p3(1- 0. 0. 0.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.