Suppose that random variables X, and X₂ have exponential distribution with expected value of and respectively. Assume that X₁ and X₂ are independent of each other. Find i) The joint density function of X₁ and X₂. ii) P(X₂ >1, X₂ > 1) iii) P(X₂ <5) A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in years is given by

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