Cars arrive at an inspection station according to a Poisson distribution at a rate of 10 cars per hour (λ = 10). With probability of 0.5, a car will pass inspection. a. What is the expected number of cars to arrive at the inspection station in 1 hour? What is the expected number of cars to arrive in a 3 hour period? b. What is the probability that at most (less than or equal to) 15 cars will arrive in the 1 hour time period? Write out the theoretical form and use R to compute a numeric value.
Cars arrive at an inspection station according to a Poisson distribution at a rate of 10 cars per hour (λ = 10). With probability of 0.5, a car will pass inspection. a. What is the expected number of cars to arrive at the inspection station in 1 hour? What is the expected number of cars to arrive in a 3 hour period? b. What is the probability that at most (less than or equal to) 15 cars will arrive in the 1 hour time period? Write out the theoretical form and use R to compute a numeric value.
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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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Cars arrive at an inspection station according to a Poisson distribution at a rate of 10 cars per hour (λ = 10). With
a. What is the expected number of cars to arrive at the inspection station in 1 hour? What is the expected number of cars to arrive in a 3 hour period?
b. What is the probability that at most (less than or equal to) 15 cars will arrive in the 1 hour time period? Write out the theoretical form and use R to compute a numeric value.
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