5. If X has the following cdf: I<1 1sz< 4 F(z) : | 4sz< 6 | 6sz< 10 |1 z2 10 a. Find the pdf of X. Enter answers as whole numbers or reduced fractions. b. Find the median of X. Enter your answer as a whole number or a reduced fraction median-
5. If X has the following cdf: I<1 1sz< 4 F(z) : | 4sz< 6 | 6sz< 10 |1 z2 10 a. Find the pdf of X. Enter answers as whole numbers or reduced fractions. b. Find the median of X. Enter your answer as a whole number or a reduced fraction median-
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...
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go according to question and make it into reducing the fraction
![The image presents a problem about a cumulative distribution function (CDF) for a random variable \( X \). The problem is numbered "5" and is structured as follows:
### Given CDF:
\[ F(x) = \begin{cases}
0, & x < 1 \\
\frac{1}{4}, & 1 \leq x < 4 \\
\frac{1}{2}, & 4 \leq x < 6 \\
\frac{5}{6}, & 6 \leq x < 10 \\
1, & x \geq 10
\end{cases} \]
### Questions:
a. **Find the PDF of \( X \).** Enter answers as whole numbers or reduced fractions.
There is a table provided for the Probability Density Function (PDF), with columns labeled "X" and "f(x)".
b. **Find the median of \( X \).** Enter your answer as a whole number or a reduced fraction.
The format seems to suggest that the user fills in their answer or solution in the provided spaces after determining the probability density function and the median.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F805c2cc2-6060-43ca-959b-a3334a4a8475%2F64ef0cc0-4e52-450d-b952-feac2eb68370%2Fwoyyyr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a problem about a cumulative distribution function (CDF) for a random variable \( X \). The problem is numbered "5" and is structured as follows:
### Given CDF:
\[ F(x) = \begin{cases}
0, & x < 1 \\
\frac{1}{4}, & 1 \leq x < 4 \\
\frac{1}{2}, & 4 \leq x < 6 \\
\frac{5}{6}, & 6 \leq x < 10 \\
1, & x \geq 10
\end{cases} \]
### Questions:
a. **Find the PDF of \( X \).** Enter answers as whole numbers or reduced fractions.
There is a table provided for the Probability Density Function (PDF), with columns labeled "X" and "f(x)".
b. **Find the median of \( X \).** Enter your answer as a whole number or a reduced fraction.
The format seems to suggest that the user fills in their answer or solution in the provided spaces after determining the probability density function and the median.
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