Please answer the whole question quickly and correctly Two close friends live in different continents. Let X be the number of years between two consecutive meetings of two friends. The cumulative distribution function of random variable X is as follows: a. Is X discrete or continuous random variable? b. If X is discrete, find its pmf. If X is continuous, find its pdf. c. What is? d. What is? e. What is
Please answer the whole question quickly and correctly Two close friends live in different continents. Let X be the number of years between two consecutive meetings of two friends. The cumulative distribution function of random variable X is as follows: a. Is X discrete or continuous random variable? b. If X is discrete, find its pmf. If X is continuous, find its pdf. c. What is? d. What is? e. What is
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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Please answer the whole question quickly and correctly
Two close friends live in different continents. Let X be the number of years between two consecutive meetings of two friends. The cumulative distribution function of random variable X is as follows:
a. Is X discrete or continuous random variable?
b. If X is discrete, find its pmf. If X is continuous, find its pdf .
c. What is?
d. What is?
e. What is?
![The image presents a piecewise function \( F(x) \) defined by various conditions for \( t \). The function \( F(x) \) is specified as follows:
\[
F(x) =
\begin{cases}
0, & t < 2 \\
\frac{1}{2}, & 2 \leq t < 4 \\
\frac{3}{4}, & 4 \leq t < 6 \\
\frac{15}{16}, & 6 \leq t < 8 \\
1, & t \geq 8
\end{cases}
\]
**Explanation:**
1. **\( t < 2 \):** The function \( F(x) \) equals 0.
2. **\( 2 \leq t < 4 \):** The function \( F(x) \) equals \(\frac{1}{2}\).
3. **\( 4 \leq t < 6 \):** The function \( F(x) \) equals \(\frac{3}{4}\).
4. **\( 6 \leq t < 8 \):** The function \( F(x) \) equals \(\frac{15}{16}\).
5. **\( t \geq 8 \):** The function \( F(x) \) equals 1.
This piecewise function defines \( F(x) \) with different constant values over distinct intervals of the variable \( t \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabbd02aa-e289-47d3-b3b4-87f7eeaaef64%2F2f5bb9ac-0442-4eaa-be54-cb06dc421d57%2Flx5q74l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a piecewise function \( F(x) \) defined by various conditions for \( t \). The function \( F(x) \) is specified as follows:
\[
F(x) =
\begin{cases}
0, & t < 2 \\
\frac{1}{2}, & 2 \leq t < 4 \\
\frac{3}{4}, & 4 \leq t < 6 \\
\frac{15}{16}, & 6 \leq t < 8 \\
1, & t \geq 8
\end{cases}
\]
**Explanation:**
1. **\( t < 2 \):** The function \( F(x) \) equals 0.
2. **\( 2 \leq t < 4 \):** The function \( F(x) \) equals \(\frac{1}{2}\).
3. **\( 4 \leq t < 6 \):** The function \( F(x) \) equals \(\frac{3}{4}\).
4. **\( 6 \leq t < 8 \):** The function \( F(x) \) equals \(\frac{15}{16}\).
5. **\( t \geq 8 \):** The function \( F(x) \) equals 1.
This piecewise function defines \( F(x) \) with different constant values over distinct intervals of the variable \( t \).
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