Question: a).A random variable X has the density function 80303 f(x)=(ke-0.5x.x0 2025e 10 elsewhere' i) Determine k that renders f(x) as a valid density function.

a).A random variable X has the density function 80303 f(x)=(ke-0.5x.x0 2025e 10

a).A random variable X has the density function 80303 f(x)=(ke-0.5x.x0 2025e 10 elsewhere' i) Determine k that renders f(x) as a valid density function. ii) Find P (-1.5 < x < 2.5) [3M] iii) Find P ([X]=1), where [X] is the greatest integer less than or equal to X

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