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The previous exercises states that the distribution of speeds of cars traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. The speed limit on this stretch of the I-5 is 70 miles/hour.
-A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other.
a. 0.7054 b. 0.0022 c. 0.2946 d. 0.0075 -On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding?
a. 1.42 b. 1.89 c. 5.88 d. 9.36 -What is the standard deviation of the number of cars he would expect to watch?
a. 0.68b. 0.77 c. 0.82 d. 0.99
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