1. If Y has a geometric distribution with probability of success p, Derive the moment-generating function for Y. 2. Differentiate the moment-generating function in (1) to find E(Y) and V(Y).

Q: Calculate the implicit volatility of a call with U(0) = 75, X = 75, r = 0.02, T = 1.5 and C(0) =…

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Q: Determine the critical points of f(x, y) = 4.xy-a -y". Then, using the Second Derivative Test,…

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Q: Find the critical point of the function f(x,y) = 4x²y² + 3y2 + 5x2. %3D o a. (-0.87,0) o b.…

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Q: Identify the relative extremes and saddle points (if any) of the functions bellow. a)f(x, y) = e"…

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Q: i) Find the critical numbers of function f (x) = x/x+3 TV. ii) If 2x- y=k is the equation of a…

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Q: 1,3 2,1 3,4 f(x) 2,6 3,5 3,2

A: The given tabular data is,

Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

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Q: An article suggested that under some circumstances the distribution of waiting time X could be…

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Q: Q.4. locate the critical points of the function f(x)=x*(x-1)³ and identify critical points which are…

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Q: If T, is an MVUE of y (0) and T, is any other unbiased estimator of y (0) with efficiency e < 1,…

A: Answer: For the given data,

Q: 1.3 If T = (T₁, T₂) provides a sufficient statistic for 0, then which of the following statistic is…

A: It is given that are the sufficient statistics for .The statistic which is necessarily not a…

Q: The function f(x, y) have fx = fy = 0. fxx > 0 and fxxfyy – (fxy)“ > 0 at the point (a, b), then the…

A: The objective is to select the suitable option. We are provided that for the function    we have

Q: Suppose an agent has the following utility function for 0 R Rlog(x) where y> 0 and R>0 . (a)…

A: (a) Case (i) U(x)=Rlog(x) Differentiate with respect to x. U'(x)=Rx Again differentiate with respect…

Q: Consider the statistical discrimination graph of how the signal y relates to the employers 'best…

A: Given information: Given data represents the statistical discrimination graph of the signal y…

Q: Suppose the data tan le descnbed by the equation R(E) - 0. 271t-a.76t + 67-83 where '4 is the amber…

A: We can use differential calculus to find the minimum and maximum of the function. First, find the…

Q: All 3 questions thanks

A: Step 1: 1. Given, original platform was designed as a rectangle with length = 12.00 meters, width =…

Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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Q: Q10 Suppose N ~ Poisson(10), and Y N = n ~ Binomial(n, p), for n = 0, 1, 2, .... Q10(i.) Find the…

A: Given that

Q: (4). Find the conditional pdf of X given Y = y. (5). What is the correlation coefficient of X and Y?

A: It is an important part of statistics . It is widely used .

Q: 3x if x S -2 3. If f(x) x* - 1 if -2<x<2 = 3 if x 2 2 Discuss continuity at x = 2 and x = -2

A: We have to find the continuity of the given function at x = 2 and x = -2. So, for that, we have to…

Q: What can we conclude when the Hessian at a stationary point is equal to -5? * O It is a saddle…

A: Maximum ,minimum and saddle point of the function

Q: Find the critical point of the function f(x,y) = 6x²y² + 4y2 + 4x². a. (0,0) o b. (-0.82,0) c.…

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Q: Find the critical point of the function f(x,y) = 5x²y2 + 5y2 + 6x². o a. (0,1.10) o b. (1.00,0) o c.…

A: In this question, we need to find the critical points of the function f(x, y) = 5x2y2+5y2+6x2.

Q: 8.) Find all local extreme value(s) and saddle point(s), if they exist, for the function f(x, y)…

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