Solution Found!
The change in depth of a river from one day to the next,
Chapter 4, Problem 44E(choose chapter or problem)
The change in depth of a river from one day to the next, measured (in feet) at a specific location, is a random variable Y with the following density function:
\(f(y)=\left\{\begin{array}{ll}
k, & -2 \leq y \leq 2 \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a Determine the value of 𝑘.
b Obtain the distribution function for 𝑌 .
Equation Transcription:
Text Transcription:
f(y)=
k, -2</=y</=2
0, elsewhere.
Questions & Answers
QUESTION:
The change in depth of a river from one day to the next, measured (in feet) at a specific location, is a random variable Y with the following density function:
\(f(y)=\left\{\begin{array}{ll}
k, & -2 \leq y \leq 2 \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a Determine the value of 𝑘.
b Obtain the distribution function for 𝑌 .
Equation Transcription:
Text Transcription:
f(y)=
k, -2</=y</=2
0, elsewhere.
ANSWER:
Solution
Step 1 of 2
a) We have to determine the value of k from the given density function
Given that
=0, elsewhere
We know that total probability should be equal to 1
Then
4k=1
k=¼
Hence the value of k is ¼