Assume y follows theX distribution. Assume c₁ and c₂ satisfy P(Y> c₁) = 0.05 and P(Y < c₂)(b).= 0.05. Then C₁ = (a) and C2 =

It is of interest to find the values of c1 and c2, using the given conditions.

Answered: Assume Y follows theX5 distribution.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Distribution function is as follows: [0.01x² -4
Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is randomly drawn from a uniform distribution on the interval [90, 210], where the unit is U.S. million dollars. In addition, suppose that after the value X = x has been observed (90 < x < 210), the 2023 team budget, say Y, is randomly drawn from a uniform distribution on the interval [x, 210]. In other words, the 2023 budget is at least as large as the 2022 budget. (a) For any given value of x (90 < x < 210), obtain E[Y|X = x]. (b) In view of part (i), obtain E[Y|X]. (c) What is the difference between E[Y|X = x] and E[Y|X]? (d) Obtain E[Y]. That is, what is the expected value of your 2023 fantasy basketball budget? (e) Golden State Warriors won the 2022 NBA finals. Their estimated 2022 payroll is about $194 million. Would your 2023 fantasy basketball budget be on average larger than Golden State Warriors' 2022 payroll? Explain briefly.
Exercise 5.13 Express the distribution function of Y Fx of X. max{0, X} in terms of the distribution function
d. Find the distribution e. Find the distribution of I(X 6).
The loss amount, X, for a medical insurance policy has cumulative distribution function: for x 4 Calculate the mode of the distribution.
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3x-2y For x =-1,0,1 and y = -1,0. The joint distribution of X and Y is given by: f(x.y) = For x = -1,0,1 and y = -1,0. Then k = None of these O 18 24 36
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Q 4.3. A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the number of 1s. 1. Compute the distribution of Y. 2. For a fixed k ≥ 1, find the distribution of X given Y = k. 3. Compute E(X) and Var(X).

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Assume Y follows theX5 distribution. Assume c₁ and c2 satisfy P(Y > c₁) = 0.05 and P(Y < c₂) = 0.05. Then C₁ = (a) and c2= (b).