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Math Help - probability

  1. #1
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    probability

    The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value  10 min and a standard deviation  2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most  11 minutes?

    So is this just  P \left(z \leq \frac{1}{2/\sqrt{5}} \right) = \Phi(1.118) = 0.8686 and  P \left(z \leq \frac{1}{2/\sqrt{6}} \right) = \Phi(0.816) = 0.7939 ?
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  2. #2
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    I get 0.8682 for the first one.

    On the second you have the wrong value for \frac{\sqrt{6}}{2}
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