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Math for educators

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The length of time it takes college students to find a parking spot in the library parking lot follows a
normal distribution with a mean of 5.5 minutes and a standard deviation of 1 minute. Find the
probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a
parking spot in the library lot.

  • Math for educators - ,

    4-5.5 = -1.5
    z =-1.5/1 = -1.5 or 1.5sigma below mean

    6.5 - 5.5 = 1
    z = 1/1 = 1 sigma above mean
    so what fraction of a normal distribution lies between z = -1.5 and z = + 1?
    from table
    F(-1.5) = .067 are below -1.5
    F(1) = .841 are below +1
    so .842-.067 are between

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