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)
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)
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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![**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 \( v2 = 9 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2F90fa35d9-a215-411d-bfe8-8094fe8f81bb%2Fa06wr3m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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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