Given the following sampling distribution: What is P(X > -9)? X -16 -9 -5 P(X)/100/50 7/100/100 8 17
Given the following sampling distribution: What is P(X > -9)? X -16 -9 -5 P(X)/100/50 7/100/100 8 17
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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Question
Solve the following
![Given the following sampling distribution:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
X & -16 & -9 & -5 & 8 & 17 \\
\hline
P(X) & \frac{1}{100} & \frac{3}{50} & \frac{7}{100} & \frac{7}{100} & \\
\hline
\end{array}
\]
What is P(X > -9)?
**Explanation:**
This table represents a probability distribution, where:
- \( X \) denotes the value of the random variable.
- \( P(X) \) represents the probability of each value of \( X \).
To find \( P(X > -9) \), sum the probabilities of the values where \( X \) is greater than -9, which are -5, 8, and 17:
\[ P(X > -9) = P(X = -5) + P(X = 8) + P(X = 17) \]
Substitute the corresponding probabilities:
\[ P(X > -9) = \frac{7}{100} + \frac{7}{100} + P(X = 17) \]
Since \( P(X) \) for 17 is not given, ensure to check additional data or context to complete the calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5a46a21-656d-42a0-a455-81d241d5836d%2F09661859-6f02-4da9-a5a1-c6b8f8e6f7f0%2Fse0x2d_processed.png&w=3840&q=75)
Transcribed Image Text:Given the following sampling distribution:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
X & -16 & -9 & -5 & 8 & 17 \\
\hline
P(X) & \frac{1}{100} & \frac{3}{50} & \frac{7}{100} & \frac{7}{100} & \\
\hline
\end{array}
\]
What is P(X > -9)?
**Explanation:**
This table represents a probability distribution, where:
- \( X \) denotes the value of the random variable.
- \( P(X) \) represents the probability of each value of \( X \).
To find \( P(X > -9) \), sum the probabilities of the values where \( X \) is greater than -9, which are -5, 8, and 17:
\[ P(X > -9) = P(X = -5) + P(X = 8) + P(X = 17) \]
Substitute the corresponding probabilities:
\[ P(X > -9) = \frac{7}{100} + \frac{7}{100} + P(X = 17) \]
Since \( P(X) \) for 17 is not given, ensure to check additional data or context to complete the calculation.
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