Suppose that the following table records the average daily number of traffic accidents reported in the 18 cities of UK. Assuming that the occurrence of traffic accidents in the cities is random and follows the Poisson distribution, estimate the number of cities having various number of traffic accidents on a particular day and complete the table. Number of cases 0 1 2 3 4 >4 Observed number of cities 1 4 6 5 2 0 Theoretical probability Estimated number of cities

Suppose that the following table records the average daily number of traffic accidents reported in the 18 cities of UK. Assuming that the occurrence of traffic accidents in the cities is random and follows the Poisson distribution, estimate the number of cities having various number of traffic accidents on a particular day and complete the table. Number of cases 0 1 2 3 4 >4 Observed number of cities 1 4 6 5 2 0 Theoretical probability Estimated number of cities

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The mean number of customers arriving at a service station during the 25-minute period is 5. Find the probability that 3 or more customers will arrive at the service station during a 25-minute period. Assume that the service system can be modeled as a Poisson distribution
Let the number of Chocolate chips in an oatmeal cookie have a Poisson distribution. We want the probability that a cookie of this type contains at least three chocolate chips to be greater than 0.96. Find the smallest value of the mean that the distribution can take. You may need a graphing calculator)
E The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is
Consider a Poisson distribution with a mean of two occurrences per time period. Compute the probability of three occurrences in one time period (to 4 decimals). Compute the probability of seven occurrences in two time periods (to 4 decimals).
2. Doctors volunteer their time on a daily basis in a clinic. The total number of patients served in a day at the clinic has mean 90 and variance 1890. Determine the probability that 120 or more patients can be served in a day at the clinic. Use the Central Limit Theorem with continuity correction. Use linear interpolation with the normal distribution to find the probability.
Suppose that the following table records the average daily number of traffic accidents reported in the 20 areas of UK. Assuming that the occurrence of traffic accidents in the districts is random and follows the Poisson distribution, estimate the number of districts having various number of traffic accidents on a particular day and complete the table. Number of cases 0 1 2 3 4 >4 Observed number of area 1 4 6 5 2 0 Theoretical probability Estimated number of districts
4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55 minutes. What is the standard deviation of the commuting time?
Officer Thompson of the Bay Ridge Police Department works the graveyard shift. He averages 4.5calls per shift from this dispatcher. Assume the number of calls follows a Poisson distribution. Find theprobability that Officer Thompson get fewer than 2 calls in a shift.
The number of goals scored at state college hockey games follows as poisson distribution with a mean of five goals per game. Find the probability that a randomly selected state college hockey game would have more than three goals
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.