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You're out surfing and waiting for a big wave to appear. Because you're extremely bored, you decide to estimate how long you'll have to wait,

You're out surfing and waiting for a big wave to appear. Because you're extremely bored, you decide to estimate how long you'll have to wait, by modeling the wait time with an exponential random variable X with mean of 10 (minutes).

(a) Use Markov's inequality to estimate the probability that you have to wait at least 30 minutes. (b) Use Chebyshev's inequality to estimate P(X30). (c) Compute P(X30) exactly.

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