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2. Show that each given function is a probability density function and find the indicated probabilities:•...

2. Show that each given function is a probability density function and find the indicated probabilities:•

Let f(x) =1/4(1+x)^−5/4 in [0,∞);

find

P(0≤X≤2), P(1≤X≤3) and P(X≥5)

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