In: Statistics and Probability
| 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 | |||||||