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Along a stretch of highway the posted speed limit. is El} kmf h. However. not everyone obeys the posted speed limit. The probability distribution…

2.Suppose that to use the highway drivers must pay a fee. Each car must pay a basic fee of $3, plus an additional $0.25 for every km/h over the speed limit they reach in their maximum speed. The province in charge of the highway has set up cameras along the highway to monitor who uses the highway (they can also monitor speed this way), and then sends the registered owner of the car a bill for the amount of the fee.

(a) What is the expected value of the fee? 

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(b) Find the variance for the fee.

(c) Find the standard deviation for the fee.

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