10. A bowl contains 10 marbles: 3 red marbles, 5 blue marbles, and 2 white marbles. Three marbles are randomly selected from the bowl with replacement. (a) Find the probability of selecting 2 blue marbles. (b) Given that 2 red marbles are already selected, find the probability of selecting each of the following: (i) One white marble (ii) One blue marble (iii) Two blue marbles (c) Based on your answer in (b), given that 2 red marbles are already selected, find the mean and variance of selecting blue-marble. (d) Are the events of selecting red marbles and blue marbles independent?

Q: Determine yu – 4uzy + a?uzz + 3u = 0 %3D the type of the PDE

A: We will check whether given PDE is hyperbolic, elliptic or parabolic.

Q: 1. (D² – D – 2) y = 30

A: Using auxiliary equation than pi  y=c.f + p.I   General solution

Q: dy dx 23 X + 24 2メ+ツ

A:

Q: Higher Order L.D.E (D3+D2-5D+3)2y=0

A: Higher Order L.D.E (D3+D2-5D+3)2y=0

Q: X-y verity that %3D di Y=Ce* IS a solurion

A:

Q: Solve for 19 a) =20 = a" (I+ JEi ) b) z²+ zi +1 = b) zt Zi t1 =0

A:

Q: 411-41 r PV = C - (1+r) ease make r the subject -n-

A: Please see the below picture for detailed solution.

Q: y³y −3= ... Oa. 1/y Ob.y O C. 1 c. Od.0

A: Given expression isy³.y-3

Q: 1 2T e es 8 e .... ell e' + Tt Select one: O True False

A: Sum of series

Q: 7 Determine the intgral

A:

Q: O hntegrate, du = Bdī-Rdp

A: Given :-  dvv =β dT - Kdp      To find :-  Integration   Soln :-     dvv = βdT - Kdp…

Q: 5. Prove that arg(z1zz) = argzi – argzz %3D

A: Introduction: For a complex number z=x+iy, where x is the real part and y is the imaginary part,…

Q: d?y Determine if: 2x2 – xy + 5y2 = 7 dx2

A:

Q: -3 (2): 4 I(2) : 1 g(u: 5 Find 38 (2)

A: Here we have,  f(2)=-3 , f'(2)=4g(2)=1 , g'(2)=5 we have to find 3fg'(2)=?

Q: Let x be the r.v Such that ECx)=D2 ECx)=2a %3D [2+Qx}?) =2a3 %3D Findthe Value of a

A:

Q: Let à = 2i +4j - k. Find a.

A:

Q: %3D 3.) [2x +3y =-6 12x-16=-8y 2x+3y m b%3= 12x-16 =-8y m%3D b%3D

A:

Q: 2. (-2, 3) and (2, -1) m%3D X,- X, 1- 2 -

A: Given that (-2,3) and (2,-1)

Q: tan C3x ) dx

A:

Q: S dx. 1 Evaluate and simplify its final answer. J 2x2-2x+1

A:

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: / esx+3 dx = %3D

A: To evaluate the integral :- I = ∫e5x+3 dx Substitute    u = 5x+3du = 5 dxdx = du5

Q: 16 C 73° 12 61 20

A:

Q: dx 4. J、マ-6x+13

A: 4. Given integral:

Q: The colder a substance gets the less its particles move. O True False QuickNav

A:

Q: Ron recently increased the size of his Jeep tires from the original P220/75R16 to the larger…

A: According to the given data, find the correct answer.

Q: dy √e²y-1 S

A:

Q: 2 y?xdy dx

A:

Q: 2 1 dw włVw² + 3 -1

A: Given integral, ∫-121w4w2+3dw Find the value of this integral.

Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: dv 2. S v² -v

A: We have to evaluate the integral.

Q: Find x, y, z, and w. x 2 (2x - 1) (2x - 2) y 7 3y (w + 1) (2y + + 3) y = = M x N W

A: Given:x22x-1y73y=2x-2z33w+12y+3

Q: What is the size of A? Of B? Of C OF D? wered [0 3 4 5] A = of 1 stion -2 -3 -11 7 C= 1 -8 -1 0 1 D=…

A:

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: Perform the indicated operation. (303-j19) (j2-1)

A: