For a given joint probability mass function. fr (K y) 1.0 14 1.5 18 1.5 14 2.5 1/4 3.0 18 Determine the values (up to 4 decimal place) of the following a. E(X) = %3D b. V(X) = 344

Q: geč (5)

A: I used trigonometric functions identities

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: ² 2y 20) 2.xy

A: Let's find.

Q: O y = |x| 5- 4 1 O y = 3- 2 O y = V¤ а. -5 -4 -3 -2 - 4 5 O y = a? -2 O y = x³ -3 -4 O y = x -5+ 1 2…

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

Q: 2,-2 2,- 2

A: We have to prove this formula

Q: 1+2sin(2Ø)=0

A: Any trigonometric equation in terms of variable x has infinitely many solutions if the domain of the…

Q: 7U-(x x is an animal}, N = {x: x is an ungulate} and C = {x: x is cow} All cows are ungulates, but…

A: Given that U= {x: x is an animal} N= (x: x is an ungulate} C= {x: x is cow } Statement: All cows are…

Q: 3. Find mzRQS. R 7x +4 S 3x+ 9

A: The objective is to find m RQS.

Q: 5 2. 14x dx

A:

Q: 3 3. tan ydy

A: Consider the given integral. I=∫π33π4tan8ydy First calculate the integral. I1=∫tan8ydy

Q: X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

A: We will use the basic knowledge of linear programming and optimization to answer this question…

Q: / Find A" if 1 2 3 A = 4'1 5 1 %3D

A:

Q: I (n Ps)= 48 3 (nC4)

A: Solution

Q: 1. (2х — у + 2)?

A:

Q: 6. (2m²n)* 1 Show Your Work

A:

Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 -…

Q: 4. Þ(17) Answer: Show your work or explain your reasoning here:

A:

Q: T [8 -4 31 2 .5 2 L3]/ [9 12] O [7 8] O [8 7] O [12 9]

A:

Q: 7 (x+1)2 dx а. 11 x 2

A: Use the substitution method, to simplify the integral ∫x+172x112dx.…

Q: 4. (4 – 7)² – 6 - 7+ 20

A: Recall: BODMAS Rule : The BODMAS Rule states that we should calculate the brackets first ,then the…

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: d) fast!

A:

Q: (-13)+(-3=)

A:

Q: bim nto

A: when we get 0/0 form, libnitz rule is used.

Q: 4 (-1)*- k² k=2 3k II

A: Simplify the product as follows. ∏k=24-1k×k23k3=-12×22323-13×32333-14×42343

Q: 1. (1 +V)*dz 2. (22 – 2) dr

A: Solve the following

Q: Find the value of2(*y, -=,) E(x,v, -2

A:

Q: 5a2 – 14.x + 6 d.x 13.) x3 -3x2

A:

Q: 1. (-√6 + i√2)*

A: To simplify: -6+i24=-6+i222=(-6)2-262i+(i2)22=6-23(2)2i+2i22=6-43i-22=(4-43i)2

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.

Q: 23) у CSC X

A: We need to graph the given function y.

Q: tind y 3 O y=(++ y =9tan 4 ® y= x (2x+1) (4) %3D 1-VX

A:

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

A: