**Problem A:**Find the value of \( k \) such that:\[ P(Z \geq k) = 0.25 \]**Problem B:**Let \( F(6,9) \) denote a random variable having an F distribution with \( v1=6 \) and \( v2=9 \).Find the limit \( c \) such that \( P(F(6,9) < c) = 0.05 \).**Explanation:**For Problem A, you need to find the value of \( k \) where the probability that a standard normal variable \( Z \) is greater than or equal to \( k \) is 0.25. This involves using a standard normal distribution table or calculator.For Problem B, you are dealing with an F distribution, which is used in statistical analysis to compare variances. You need to determine the critical value \( c \) such that the probability of the random variable \( F \) being less than \( c \) is 0.05. This involves using an F-distribution table or statistical software for the degrees of freedom \( v1 = 6 \) and \( v2 = 9 \).

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Answered: A. Find the value of k such that:…

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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A. Find the value of k such that: P(Z>k)=0.25 B. Let F(6,9) denote a random variable having an F distribution with v1=6 and v2=9. Find the limit c such that P(F(6,9)