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2. Let X denote the lifetime of a light bulb. Assume that X has a exponential distribution with the
mean 20 months. (i) [2 points] Write down the probability density function of X . (ii) [ 3 points]
Let Y be the random variable 5 X 2 . Compute E ( Y ) .

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2- Let X denote the lifetime of a light bulb- Assume that X has a expo.pdf

  • 1. 2. Let X denote the lifetime of a light bulb. Assume that X has a exponential distribution with the mean 20 months. (i) [2 points] Write down the probability density function of X . (ii) [ 3 points] Let Y be the random variable 5 X 2 . Compute E ( Y ) .