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Exercise 3.12 states that the distribution of speeds of
Chapter , Problem 3.24(choose chapter or problem)
Exercise 3.12 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) A highway patrol over 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.
(b) On average, how many cars would the highway patrol over expect to watch until the first car that is speeding? What is the standard deviation of the number of cars he would expect to watch?
Questions & Answers
QUESTION:
Exercise 3.12 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) A highway patrol over 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.
(b) On average, how many cars would the highway patrol over expect to watch until the first car that is speeding? What is the standard deviation of the number of cars he would expect to watch?
ANSWER:
Step 1 of 4
Given,
The mean, 
The standard deviation, 
Speed limit = 70 miles/Hr.