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Math Help - Normal Dist Prob

  1. #1
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    Normal Dist Prob

    Thanks in advance. Here is a problem that is bugging me. I believe I have come to the correct answer but unfortunatley the answer isn't provided in my Professor's lecture.

    Assume that your drive time to work each morning follows a normal distribution with μ = 20 min 24 sec, and σ = 5 min 12 sec. You should be at work by 8 AM. If it takes 3 minutes to get from your car to your office, at what time should you leave home if you want the probability of being late to be ≤ 0.05? Hint Convert to Secs.

    Using Normsinv function I received a Z-score of -1.645.

    =1224-(312x-1.645)

    1737.24 + 180 = 1917.24 comes out rounded 32 min 7:28am.

    Is that even close to being on track for this type of problem.
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  2. #2
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    I think that is correct
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Krwmagnum View Post
    Thanks in advance. Here is a problem that is bugging me. I believe I have come to the correct answer but unfortunatley the answer isn't provided in my Professor's lecture.


    Assume that your drive time to work each morning follows a normal distribution with μ = 20 min 24 sec, and σ = 5 min 12 sec. You should be at work by 8 AM. If it takes 3 minutes to get from your car to your office, at what time should you leave home if you want the probability of being late to be ≤ 0.05? Hint Convert to Secs.

    Using Normsinv function I received a Z-score of -1.645.

    =1224-(312x-1.645)

    1737.24 + 180 = 1917.24 comes out rounded 32 min 7:28am.

    Is that even close to being on track for this type of problem.
    That looks OK to me

    RonL
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  4. #4
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    Ty

    Thank you the timely responses.
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