Question

The probability density function for a continuous random variable X is given by         f(x) = 0.6                 0<X<1...

The probability density function for a continuous random variable X is given by

        f(x) = 0.6                 0<X<1

              = 0.10(x)         1 ≤X≤ 3

              = 0 otherwise

Find the 85th percentile value of X.

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Answer #1

Let x85 be the  85th percentile value of X ; Then,

for the given problem,

f(x) = 0.6 for 0<X<1

f(x) = 0.10(x) for 1x3

therefore,

The support for X is 0 to 3;

85th percentile value of X = 2.4495

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