Suppose a random variable X has probability distribution function 2kx 2+1> for x = 2, 3 kr P(X = x) = 72 _]; for ax = 4,5 0, otherwise. where k is a numerical constant. Using the value of k, calculate the value of F(2.5) and F(4). O 32/75 and 8/9 O 8/19 and 1/9 о 8/33 аnd 74/99 O 4/7 and 37/21
Suppose a random variable X has probability distribution function 2kx 2+1> for x = 2, 3 kr P(X = x) = 72 _]; for ax = 4,5 0, otherwise. where k is a numerical constant. Using the value of k, calculate the value of F(2.5) and F(4). O 32/75 and 8/9 O 8/19 and 1/9 о 8/33 аnd 74/99 O 4/7 and 37/21
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![**Question 5**
Suppose a random variable \( X \) has a probability distribution function
\[
P(X = x) =
\begin{cases}
\frac{2kx}{x^2 + 1}, & \text{for } x = 2, 3 \\
\frac{kx}{x^2 - 1}, & \text{for } x = 4, 5 \\
0, & \text{otherwise}.
\end{cases}
\]
where \( k \) is a numerical constant.
**Using the value of \( k \), calculate the value of \( F(2.5) \) and \( F(4) \).**
- \( \frac{32}{75} \) and \( \frac{8}{9} \)
- \( \frac{8}{19} \) and \( \frac{1}{9} \)
- \( \frac{8}{33} \) and \( \frac{74}{99} \)
- \( \frac{4}{7} \) and \( \frac{37}{21} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae8ee7c4-79f3-4258-9a28-9911a1447d64%2Fb920a97b-2ecc-4a74-8db3-8490ce98b73e%2Ffb0a5te_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 5**
Suppose a random variable \( X \) has a probability distribution function
\[
P(X = x) =
\begin{cases}
\frac{2kx}{x^2 + 1}, & \text{for } x = 2, 3 \\
\frac{kx}{x^2 - 1}, & \text{for } x = 4, 5 \\
0, & \text{otherwise}.
\end{cases}
\]
where \( k \) is a numerical constant.
**Using the value of \( k \), calculate the value of \( F(2.5) \) and \( F(4) \).**
- \( \frac{32}{75} \) and \( \frac{8}{9} \)
- \( \frac{8}{19} \) and \( \frac{1}{9} \)
- \( \frac{8}{33} \) and \( \frac{74}{99} \)
- \( \frac{4}{7} \) and \( \frac{37}{21} \)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON