4. Suppose that the probability mass function of the discrete random variable X is as follows: for x = 1, 2, 3, 4, 5, 6 f(x) = otherwise where c is a constant. a. What value of c will make f(x) a valid probability mass function ? b. Compute the cumulative distribution function, F(x). с. Compute P(1 < X < 6).
4. Suppose that the probability mass function of the discrete random variable X is as follows: for x = 1, 2, 3, 4, 5, 6 f(x) = otherwise where c is a constant. a. What value of c will make f(x) a valid probability mass function ? b. Compute the cumulative distribution function, F(x). с. Compute P(1 < X < 6).
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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![4. Suppose that the probability mass function of the discrete random variable X is as follows:
\[
f(x) =
\begin{cases}
\frac{c}{x} & \text{for } x = 1, 2, 3, 4, 5, 6 \\
0 & \text{otherwise}
\end{cases}
\]
where \(c\) is a constant.
a. What value of \(c\) will make \(f(x)\) a valid probability mass function?
b. Compute the cumulative distribution function, \(F(x)\).
c. Compute \(P(1 < X < 6)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2db349d-44e2-4dc0-ad50-be44fa6802da%2Fbf321d26-080e-4923-8850-779abb966ac0%2Fbxcwsho_processed.png&w=3840&q=75)
Transcribed Image Text:4. Suppose that the probability mass function of the discrete random variable X is as follows:
\[
f(x) =
\begin{cases}
\frac{c}{x} & \text{for } x = 1, 2, 3, 4, 5, 6 \\
0 & \text{otherwise}
\end{cases}
\]
where \(c\) is a constant.
a. What value of \(c\) will make \(f(x)\) a valid probability mass function?
b. Compute the cumulative distribution function, \(F(x)\).
c. Compute \(P(1 < X < 6)\).
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