9. The density function of a random variable X is expressed as f(x) = e*-x for x > 4.(a) Find the cumulative distribution function.Determine also the following probabilities.(b) P(X > 6)(c) P(2 < X < 5)(d) P(8 < X < 12)(e) P(X > 1)

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A First Course in Probability (10th Edition)

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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9. The density function of a random variable X is expressed as f(x) = e*-* for x > 4. (a) Find the cumulative distribution function. Determine also the following probabilities. (b) P(X > 6) (c) P(2 < X < 5)

9. The density function of a random variable X is expressed as f(x) = e- for x > 4. (a) Find the cumulative distribution function. Determine also the following probabilities. (b) P(X > 6) (c) P(2 < X < 5)