2. A stock market trader buys 100 shares of stock A and 200 shares of stock B. Let X and Y be the price changes of A and B, respectively, over a certain time period. Assume the joint PMF of X and Y is uniform over the set of integers x and y satisfying -2 sxs 2, x - 1 sysx+ 1. Find the marginal PMF of Y.

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A: We have given. Consumer details :  ( u = 8(x^0.5) +y) and  m = 80 Given pays for this month :  px=…

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Q: (d) Compute the marginal pmf of X. X 0 1 Px(x) Compute the marginal pmf of Y. y Py(Y) Using Px(x),…

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Q: Given a marginal p.m.f of x: f₁(x) (x) = { // , for x = 5,6 0 O.W and a marginal p.m.f of y: f2(y) =…

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Q: 2. A stock market trader buys 100 shares of stock A and 200 shares of stock B. Let X and Y be the…

A: Given: X=-2,-1,0,1,2 Y=X±1 Here possible pairs of x,y=-2,-1,-2,-2, has totally 5×3=15. Joint PMF of…

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A: Given :b) The marginal PMFs for the Random variables B and D.A stock trader purchases 100 shares of…

Q: 1. Let x = 1.442 and y = 1.450. Compute the relative error in x Oy = fl(fl(x) – fly)) using rounding…

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Q: Compute (1) (ii) the marginal p.m.f. of X. P(Y=-1|X=1).

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Q: A consumer with u = 8x^(1/2)+ y has m = 80 and pays pX= 4, pY= 2. Next month pX= 2.Provide a…

A: u = 8*(x)^1/2  + y m= 80 px= 4 py=2 Next month px = 2 Cv =?

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Q: If (a, b) is a critical point of the function z = g (x, y) and g (a, b) < 0 , then (a, b, g (a, b))…

A: The solution is given below in the next step:

Q: 2) Given the joint pmff(x.y): X 0 X 5 X 6 X -1 X 2 Y=-3 0.1 0.25 0 0.2 0 Y-1 0 0.1 0.05 0 0 0.1 0.05…

A: Given Joint pmf f(x,y) as shown belowThe marginal pmfs are calculated using the formulas shown below

Q: Given a marginal p.m.f of x: f₁(x) and a marginal p.m.f of y: f₂(y) = Then the values of (k) and (c)…

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Q: Consider the utility function U(x, y) = xy + x, with MUx = y+1 and MUy = x. (Verify these.) a. is…

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A: We have to find

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Q: | 4. If f(x) = cos(3x) – In(x + 2), then at what value(s) of x on 0 < x < 3 will the slope of the…

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Q: Justin has the utility function U = xy, with the marginal utilities MUx = y and MUy = x. The price…

A: Here Utility function U=xy givenAlso we have   M Ux=y;   MUy=x     Px=price of x=$2     Py=price of…

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A: Find the critical value as f'(x)=0

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Q: Let U(x.y) =V(æy). Let | = $100, Px = $10 and Py = $10 be the initial set of prices and income. Now,…

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Q: Q3 Suppose X and Y have the following joint PMF. x \ y 1 2 3 4 6. 1/6 1/6 0 1 1/12 1/12 0 1/12 1/12…

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Q: If the utility function of an individual takes the form U=U(x1,x2 )=(x1+2 )2(x2+3)3 Where U is…

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Q: 3.C.6" Suppose that in a two-commodity world, the consumer's utility function takes the form u(x) =…

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Q: Given that f(x)= x³+ ax2 + bx has critical numbers at x =1 and x = 3,then a,b are O -7,8 O -8, 7…

A: f'(x) = x3 + ax2 +bx f'(x)= 3x2 + 29x + b Since x=1 and x=3 are critical numbers So, f'(1) = 0 and…

Q: : Let xab(5,0) Rind the best Critical region. ofSize a- 32 3. 4

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Q: 2. Provide the critical value(s) for each of following circumstances: a. Ha: µ z 35 , n=41, ơ =…

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Q: in c nurmal disribution X= S and Z= -1.23 thờ tlis Yon that X-5 the mean Stardard devictens to The

A: It is given that X = 5 and z = -1.23.

Q: Each of the following functions has at most one critical point. Graph a few level curves and a few…

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Q: XIY 2 4 5 1 1/12 1/24 1/24 2 1/6 1/12 1/8 3 1/4 1/8 1/12 a. Find P(XS2,YS4) b. Find the marginal…

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A: topic - critical points of functions

Q: (a∗ ) Compute P(X = 4, Y = 5). (b∗ ) Compute the marginal pmf’s of X and Y . (c∗ ) Are X and Y…

A: The joint pmf of X and Y is given by