A new warehouse is being designed and a decision concerning the number of loading docks is required. There are two models based on truckarrival assumptions for the use of this warehouse, given that loading a truck requires 1 hour. Using the first model, we assume that the warehouse could be serviced by one of the many thousands of independent truckers who arrive randomly to obtain a load for delivery. It is known that, on average, 1 of these trucks would arrive each hour. For the second model, assume that the company hires a fleet of 10 trucks that are assigned full time to shipments from this warehouse. Under that assumption the trucks would arrive randomly, but the probability of any truck arriving during a given hour is 0.1. Obtain the appropriate probability distribution for each of these assumptions and compare the results.
Answer to relevant QuestionsCompute the probability of 7 successes in a random sample of size n = 14 obtained from a population of size N = 30 that contains 15 successes. A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of committee members is made randomly, what is the probability that precisely half of these members will be women? Consider the joint probability distribution: a. Compute the marginal probability distributions for X and Y. b. Compute the covariance and correlation for X and Y. c. Compute the mean and variance for the linear function W = ...Refer to the information in the previous exercise. Find the mean and standard deviation of the total number of complaints received in a week. Having reached this point, you are concerned that the numbers of food and service ...Students in a college were classified according to years in school (X) and number of visits to a museum in the last year (Y = 0 for no visits, 1 for one visit, 2 for more than one visit). The joint probabilities in the ...
Post your question