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The relative humidity Y, when measured at a location, has a probability density function given by [ky³(1−y)², 0≤y ≤ 1, elsewhere. f(y) = 0, a Find the value of k that makes f(y) a density function.

The relative humidity Y, when measured at a location, has a probability density function given by [ky³(1−y)², 0≤y ≤ 1, elsewhere. f(y) = 0, a Find the value of k that makes f(y) a density function.

A First Course in Probability (10th Edition)
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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The relative humidity \( Y \), when measured at a location, has a probability density function given by \[ f(y) = \begin{cases} ky^3(1-y)^2, & 0 \leq y \leq 1, \\ 0, & \text{elsewhere}. \end{cases} \] **a** Find the value of \( k \) that makes \( f(y) \) a density function.
Transcribed Image Text:The relative humidity \( Y \), when measured at a location, has a probability density function given by \[ f(y) = \begin{cases} ky^3(1-y)^2, & 0 \leq y \leq 1, \\ 0, & \text{elsewhere}. \end{cases} \] **a** Find the value of \( k \) that makes \( f(y) \) a density function.
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