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

Chapter 4, Problem 4.123

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The relative humidity Y , when measured at a location, has a probability density function given by f (y) = ky3(1 y)2, 0 y 1, 0, elsewhere. a Find the value of k 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 5% of the time.

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