2. (a) Suppose X,~ N(0,6), for i = 1, 2, 3, 4. Assume all these random variables areindependent. Derive the value of k in each of the following.i. P(X₁ + 8X₂ < k) = 0.2119.ii. P= 0.99.(2x7²<*) =iii. P· P (X₁ > (k(X² + X² + X²))¹/²) = = 0.05.

Given that Xi~N0, 6 i=1,2,3,4 and Xi's are independent

Answered: Suppose X₁~ N(0, 6), for i = 1, 2, 3,…

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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Suppose X₁~ N(0, 6), for i = 1, 2, 3, 4. Assume all these random variables are independent. Derive the value of k in each of the following. i. P(X₁ +8X₂ < k) = 0.2119. ii. P ( 2 X ² < k) = 0 = 0.99. iii. P(X₁> (k(X2 + X3 + X))¹/2) = 0.05.