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I am currently working on a self-study question relating to exponential distribution. I made an attempt but was not able to make sense of the answer. When I looked up the reference guide, it offered the answer at 0.1068.

Appreciate any guidance and advice on where has my method gone wrong. Many thanks.

Question

When a truck arrives at a checkpoint, each truck will be checked by customs agents. The times are exponentially distributed with a service rate of 10 trucks per hour. What is the probability that a truck requires less than 15 minutes but more than 10 minutes to be checked?

Attempt

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    $\begingroup$ Replace lambda value with 1/6 instead of 6 which is the mean. Wrong formula corresponds to wrong result! $\endgroup$
    – Epameinondas
    Commented May 4, 2014 at 7:51
  • $\begingroup$ @Epaminondas Thanks for the enlightenment. Clearly a very careless mistake by me. Thank you so much. I was wondering if you will be able to add your comment as an answer so that I may mark it as the answer to my question and give due credit? Thanks $\endgroup$
    – user1275515
    Commented May 4, 2014 at 10:41
  • $\begingroup$ With great pleasure. Best regards! $\endgroup$
    – Epameinondas
    Commented May 4, 2014 at 12:43

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Replace lambda value with 1/6 instead of 6 which is the mean. Wrong formula corresponds to wrong result!

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