Question

In: Statistics and Probability

Assume that Norman has an average of 4.2 traffic accidents per hour during rush hour periods....

Assume that Norman has an average of 4.2 traffic accidents per hour during rush hour periods.

a. What is the probability that there are more than five accidents in a particular hour?

b. If there are two hours worth of rush hour periods per day (one hour in the morning, one hour in the afternoon), what is the probability that there are between 45 and 48 accidents in a work week of five days?

Solutions

Expert Solution



Related Solutions

During rush hour, from 8 am to 9 am, traffic accidents occur according to a Poisson...
During rush hour, from 8 am to 9 am, traffic accidents occur according to a Poisson process with a rate of 5 accidents per hour. Between 9 am and 11 am, they occur as an independent Poisson process with a rate of 3 accidents per hour. What is the PMF of the total number of accidents between 8 am and 11 am?
The average number of accidents at controlled intersections per year is 4.2. Is this average a...
The average number of accidents at controlled intersections per year is 4.2. Is this average a different number for intersections with cameras installed? The 43 randomly observed intersections with cameras installed had an average of 4.8 accidents per year and the standard deviation was 1.12. What can be concluded at the α α = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : H 0 : H 1 :...
The mean number of arrival at an airport during rush hour is 20 planes per hour...
The mean number of arrival at an airport during rush hour is 20 planes per hour while the mean number of departures is 30 planes per hour. Let us suppose that the arrivals and departures can each be described by a respective poisson process. The number of passengers in each arrival or departure has a mean of 100 and a coefficient of variation of 40%. a.) What is the probability that there will be a total of two arrivals and/or...
Explain why would an accident on the highway during traffic rush hour cause higher amounts of...
Explain why would an accident on the highway during traffic rush hour cause higher amounts of traffic jams than non-rush hour times. Back your answer up using operation management principles and logical arguments. Have at least 3 points of argument.
The metropolitan bus company claims that the mean wait time for a bus during rush hour...
The metropolitan bus company claims that the mean wait time for a bus during rush hour is less than 7 minutes. A random sample of 20 waiting times has a mean of 5.6 minutes with a standard deviation of 2.1 minutes. At a= 0.01, test the bus company’s claim. Assume the distribution is normally distributed.
The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour...
The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 10 minutes. A random sample of 20 waiting times has a mean of 8.6 minutes with a sample standard deviation of 2.1 minutes. At ? = 0.01, test the bus company's claim. Assume the distribution is normally distributed. - critical value z0 = -2.326; standardized test statistic ? -2.981; reject H0; There is sufficient evidence to support the Metropolitan Bus Company's...
A food store has an average of 220 customers arriving per hour during peak shopping hours....
A food store has an average of 220 customers arriving per hour during peak shopping hours. During these peak periods all eight checkout counters will be open and operating with a capacity of serving an average of 35 customers per hour per counter. All checkout counters are identical. A. What proportion of the time would all of the checkout counters and waiting lines be empty of customers? B. How long would customers wait in line on the average? C. How...
Customers arrive at a local ATM at an average rate of 14 per hour. Assume the...
Customers arrive at a local ATM at an average rate of 14 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. ​a) What is the probability that the next customer will arrive within the next 2 ​minutes? ​b) What is the probability that the next customer will arrive in more than 15 ​minutes? ​c) What is the probability that the next customer will...
The Coaster commuter train runs crowded trains (200 passengers per train-car) during peak rush-hour commute times,...
The Coaster commuter train runs crowded trains (200 passengers per train-car) during peak rush-hour commute times, but the there are only 10 passengers per train-car during off-peak hours. A manager of the Coaster says that the cost of running a car for one trip is $50 regardless of the number of passengers onboard: Therefore, the manager says the per passenger cost is $0.25 during peak hours and $5 per passenger in off-peak hours. This implies the Coaster should discourage off-peak...
A subway train on the Red Line arrives every 8 minutes during rush hour. We are...
A subway train on the Red Line arrives every 8 minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. A. Enter an exact number as an integer, fraction, or decimal. μ = B.  σ = Round your answer to two decimal places. C. Find the probability that the commuter waits less than one minute. D. Find the probability that the commuter waits between...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT