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Let X1,X2,...,X50 denote a random sample of size 50 from the distribution whose probability density function...

Let X1,X2,...,X50 denote a random sample of size 50 from the distribution whose probability density function is given by f(x) =(5e−5x, if x ≥ 0 0, otherwise If Y = X1 + X2 + ... + X50, then approximate the P(Y ≥ 12.5).

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Here Xi has exponential distribution with parameter 5. The mean of Xi is

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