Probability that your shortest wait is less than one minute

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curlym

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Suppose that the number of minutes, X, that you wait at the cashier counter at the store is exponentially distributed with a mean of three minutes. (Therefore, the pdf is fx(x)=(1/3)e-x/3.) If you go to the store 5 times, what is the probability that your shortest wait is less than one minute? (Compute P(Xmin<1).)
 
curlym said:
Suppose that the number of minutes, X, that you wait at the cashier counter at the store is exponentially distributed with a mean of three minutes. (Therefore, the pdf is fx(x)=(1/3)e-x/3.) If you go to the store 5 times, what is the probability that your shortest wait is less than one minute? (Compute P(Xmin<1).)
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