You are measuring a radioactive material, and the number of minutes until the next click on the

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You are measuring a radioactive material, and the number of minutes until the next click on the Geiger counter is exponentially distributed with parameter \(\lambda=0.25\).

(a) What is the expected waiting time for 10 clicks?

(b) What is the probability of at least 3 clicks within 2 minutes?

(c) What is the probability of precisely 3 clicks within 2 minutes?

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