5. Distributions (a) Write down the formula for the density of the exponential distribution. (b) What does it mean that a random variable coming from an exponential has no memory? (c) Prove that an exponentially distributed random variable has no memory.

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5. Distributions.
(a) Write down the formula for the density of the exponential distribution.
(b) What does it mean that a random variable coming from an exponential has
no memory?
(c) Prove that an exponentially distributed random variable has no memory.
Transcribed Image Text:5. Distributions. (a) Write down the formula for the density of the exponential distribution. (b) What does it mean that a random variable coming from an exponential has no memory? (c) Prove that an exponentially distributed random variable has no memory.
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