Solution Found!
The relative humidity Y, when measured at a location, has
Chapter 4, Problem 123E(choose chapter or problem)
The relative humidity , when measured at a location, has a probability density function given by
\(f(y)=\left\{\begin{array}{ll}
k y^{3}(1-y)^{2}, & 0 \leq y \leq 1, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a Find the value of that makes \(f(y)\) a density function.
b Applet Exercise Use the applet Beta Probabilities and Quantiles to find a humidity value that is exceeded only of the time.
Equation Transcription:
Text Transcription:
f(y)=
ky^3(1-y)^2, 0</=y</=1,
0, elsewhere.
Questions & Answers
QUESTION:
The relative humidity , when measured at a location, has a probability density function given by
\(f(y)=\left\{\begin{array}{ll}
k y^{3}(1-y)^{2}, & 0 \leq y \leq 1, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a Find the value of that makes \(f(y)\) a density function.
b Applet Exercise Use the applet Beta Probabilities and Quantiles to find a humidity value that is exceeded only of the time.
Equation Transcription:
Text Transcription:
f(y)=
ky^3(1-y)^2, 0</=y</=1,
0, elsewhere.
ANSWER:
Step 1 of 3
Given:
The probability density function of relative humidity Y, when measured at a location is given as,