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Math Help - Normal Distribution

  1. #1
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    Exclamation Normal Distribution

    hey i have a question regarding normal distribution

    Q- the speed limit in a school zone is 40km/h. A survey of cars passing shows that their speeds are normally distributed with a mean of 38km/h and a standard deviation of 6km/h

    a) what percent of cars passing the school are speeding?

    b)if drivers receive speeding tickets for exceeding the posted speed limit by 10%, what is the probability that a driver passing the school will receive a ticket?

    *Please show all work*

    Thanks in advance
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  2. #2
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    Quote Originally Posted by vchapman View Post
    hey i have a question regarding normal distribution

    Q- the speed limit in a school zone is 40km/h. A survey of cars passing shows that their speeds are normally distributed with a mean of 38km/h and a standard deviation of 6km/h

    a) what percent of cars passing the school are speeding?

    b)if drivers receive speeding tickets for exceeding the posted speed limit by 10%, what is the probability that a driver passing the school will receive a ticket?

    *Please show all work*

    Thanks in advance
    Well, do it. How can you show your work if someone else does it?

    Speeding is Greater than 40 km/h

    (40-38)/6 = What z-score that can be obtained from a table or a calculator and will give the desired probability?

    10% of 40 is 4.

    (44-38)/6 = What z-score that can be obtained from a table or a calculator and will give the desired probability?
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