Let Y₁ and Y₂ have joint density f(y₁, y2) = 3c(1 - y₂) on 0 ≤ y₁ ≤ 2 and 0 ≤ y₂ ≤ 1. What is the value of c? In question In question A: B:2 C: D:3 above, what is the value of P(Y₂ < 0.5)? A: B: C: D:4 above, what is the value of P(Y₁ > 1)? A: 0.55 B: 0.1 C: D:

Q: When two births are randomly selected, the sample space for genders is BB, BG, GB, and GG. Assume…

A: It is given that the sample space is {bb, bg, gb, gg}.

Q: If u = f(y– z, z – x, x – y), then Up + Uy + Uz =

A: u=fy-z, z-x, x-y Let p=y-z, q=z-x and r=x-y. ∂p∂x=0 , ∂q∂x=-1 and ∂r∂x=1 ∂p∂y=1 , ∂q∂y=0 and ∂r∂y=-1…

Q: 3

A: It is given that the variables X and Y are independent.

Q: If the values of the joint pdf of X and Y are shown in the table below: X\Y 0 3 1/12 1/4 1/4 1/8…

A: Given: If the values of the joint pdf of X and Y are shown in the table below:

Q: What is P {Y ≤ <}}? f(x, y) = { (4x + 2y) 3 0, ) 0≤x≤ 1,0 ≤ y ≤ 1 elsewhere

A: fxy(x,y)=4x+2y3,0≤x≤1,0≤y≤10,otherwise we have to find PY≤12

Q: effJ₂³ Evaluate 3xz dV where E = {(x, y, z) | 2 ≤ x ≤ 3, x ≤ y ≤ 2x, 0 <z<x+2y}

A:

Q: 1. Let X, Y, Z have joint pdf f(x, y, z) = 2(x + y + z)/3, 0<x< 1, 0 <y< 1,0 < z < 1, zero…

A: Answer: - Given, X, Y, Z have joint pdf                 f(x, y, z) = 2(x + y + z)3 ,  0 &lt;x &lt;3,…

Q: 2. Suppose that X and Y have joint density fxx(xx) = x(1 − x)(3 −y), for 0≤x≤ 1 and 0 ≤ y ≤ 3.< a)…

A:

Q: []][ f(x,y, 2) dV for f(x, y, 2) = xz + yz², B = [0, 2] × [2, 4] × [0, 4].

A:

Q: A quartz crystal occupies the space in the first octant where 0 ≤ x ≤ 1, 0 ≤ z ≤ 1-x, and 0 ≤ y ≤…

A: Note: The weighted average value of f(x,y,z) over region D is given by W(f)=∫∫∫Df(x,y,z)dVVolume of…

Q: What is the dimension of {(x, y, z) E R³ : x +y+z = 0}?

A:

Q: 1. Let f(x, y) = x cos (x²y). find: af a) ƏH b) of evaluated at (s) our (show you work)

A:

Q: 1) Deduce the special case ( for the special) case si z = g(x,y) SS SSF Cry + y ) dudv . D (x,y) ED…

A: As per the question we are given the general form of the surface integral of an vector field F over…

Q: A point Y is chosen randomly from the interval (0, 1). Another point X is then chosen randomly from…

A: P(X≤a|Y=y) = ∫0min{a,y}1ydx = min{a,y}y=aya&lt;y1a≥y  answer

Q: If f(x, y, z) = xy + z?x - 3yx z?, find fxy ?

A: If fx,y,z=xy+z2x-3yx2z2 Find fxy ?

Q: 4. Let X and Y have the joint density f(x, y) = What is P(X>Y > 2) ? e-(x+y) {"th for 0 ≤ z, y<∞…

A:

Q: Let f(x, y) = x² e". What is fx(3,0)? Select one: O a. 0 O b. 6 O c. 9 O d. Not defined O e. None of…

A: We have to find the value

Q: Let x, y range over N and define Q(y): 3x. x < Y. Choose all the values for y such that Q(y) is…

A: We know that set of natural number is {1,2, 3,4,5,6,7,.......}