1.8.6. Let the pmf p(r) be positive at r = -1,0, 1 and zero elsewhere. %3D (a) If p(0) = 1, find E(X²). (b) If p(0) = and if E(X) = }, determine p(-1) and p(1).

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A: Solution

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A: The complete solution is in given below

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A: To compute the Gini index of the given Lorenz curve

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A:

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A: Use the property of beta function to evaluate this integral.

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Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

A: The given function is f(t)=(e-3t-e5t)2. Expand the function implies, f(t)=e-6t+e10t-2e2t The Laplace…

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A: see the attachment.

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Q: 5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec. The road is x feet…

A:

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Q: he population y(t) of a certain microorgani ts quadrupling time is found to be 19.4 hou

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Q: If X is an exponential r.v. with parameter 5, identify the r.v. 10X

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A:

Q: Suppose a Lorenz curve for a particular country is f(x)=x6 for 0≤x≤1. What is the Gini index of…

A: The Lorenz curve of a particular country is given as

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A:

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A: Solution

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A: Consider the provided question,

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Q: 5. Show that |Logz|<|In(z)|+ t, for all z # 0.

A:

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.