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9 November, 16:45

Caught speeding suppose police set up radar surveillance on the stanford street described in exercise 18. They handed out a large number of tickets to speeders going a mean of 28 mph, with a standard deviation of 2.4 mph, a maximum of 33 mph, and an iqr of 3.2 mph. Local law prescribes fines of $100, plus $10 per mile per hour over the 20 mph speed limit. For example, a driver convicted of going 25 mph would be fined 100 + 10152 = + 150. Find the mean, standard deviation, maximum, and iqr of all the potential fines.

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  1. 9 November, 20:36
    0
    As given in the problem statement

    speed=28 mph

    standard deviation-2.4 mph

    maximum limit=33 mph

    and iqr=3.2 mph

    Using statistics

    mean will be 24.5 mph
  2. 9 November, 20:41
    0
    The mean would be 100+10 * (28-20) = $180

    The max would be 100+10 * (33-20) = $230

    The IQR is $205-$135=$70

    Using a graphing calculator, the standard deviation is $38.94.
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