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Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1)...

Let X be a continuous random variable with the following probability density function:

f(x) = e^−(x−1) for x ≥ 1; 0 elsewhere

(i) Find P(0.5 < X < 2).

(ii) Find the value such that random variable X exceeds it 50% of the time. This value is called the median of the random variable X.

Math   Statistics-And-Probability   
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