The relative humidity Y, when measured at a location, has

Chapter 4, Problem 123E

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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.

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,

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