Statistics

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Suppose that the travel time from your home to your office is normally distributed
with a mean of 40 minutes and standard deviation of 7 minutes. If you want to be
95% certain that you will not be late for an office appointment at 1:00pm, what is the
latest time that you should leave home?

  • Statistics -

    From a normal distribution table (example
    http://www.math.unb.ca/~knight/utility/NormTble.htm
    )
    look up the z-value for 95% probability, which is 1.645.

    μ=40 minutes, σ=7 minutes.
    Calculate n from the transformation of x to z as follows:
    z=(x-μ)/σ
    x=σz+μ
    Everything on the right hand side is know, so calculate x required.

  • Statistics -

    0.5

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