The National Maximum Speed Limit (NMSL) of 55 miles per hour has been in force in the United States since early 1974. The benefits of this law have been studied by D.B. Kamerud (Transportation Research, 17A, no. 1, 1983, pp. 51-64), who reports that the fatality rate for interstate highways with the NMSL in 1975 is approximately 16 per 109 vehicle miles (a) Find the probability of at most 15 fatalities occurring in 10° vehicle miles. (b) Find the probability of at least 20 fatalities occurring in 10° vehicle miles. (Assume that the number of fatalities per vehicle mile follows a Poisson distribution.)

The National Maximum Speed Limit (NMSL) of 55 miles per hour has been in force in the United States since early 1974. The benefits of this law have been studied by D.B. Kamerud (Transportation Research, 17A, no. 1, 1983, pp. 51-64), who reports that the fatality rate for interstate highways with the NMSL in 1975 is approximately 16 per 109 vehicle miles (a) Find the probability of at most 15 fatalities occurring in 10° vehicle miles. (b) Find the probability of at least 20 fatalities occurring in 10° vehicle miles. (Assume that the number of fatalities per vehicle mile follows a Poisson distribution.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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