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In: Statistics and Probability

Seventy-five percent (75%) of vehicles on a freeway violate the speed limit. You randomly clock n...

Seventy-five percent (75%) of vehicles on a freeway violate the speed limit.
You randomly clock n = 100 vehicles.
32 What is the probability that between 70 and 80 vehicles violate the speed limit?  
P(70 ≤ x ≤ 80) = ________
a 0.7967
b 0.8320
c 0.8550
d 0.8835
33 In repeated experiment of clocking 100 vehicles what is the expected value of the number of vehicles which violate the speed limit?
a 75
b 72
c 68
d 65
34 In the previous question, what is the standard deviation of the number of vehicles violating the speed limit?
a 4.50
b 4.33
c 4.15
d 4.08
35 If the state police issued $180 speeding ticket to each speedster, what is the expected value of the amount collected from tickets issued to speeding vehicles?
a $11,200
b $12,250
c $12,750
d $13,500

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