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The time a student spends in the shower on any school day is an exponential random variable with a mean of 298 seconds.

a)What is the probability that the student spends more than 310 seconds in the shower on one day?
b) What is the probability that the student spends an average of over 310 seconds in the shower per school day, taken over one calendar year (assume that one calendar year has 190 school days).

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2 answers
  1. Don't know if my answers are correct, but I got for (a)0.484 and for (b) 0.555 (extremely skeptical of this answer)

    What did you get so we may reference each others answers and help each other out? :)

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  2. correction, my hopefully correct yet still sketchy answer for (b) is now 0.342.

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