Question

In: Statistics and Probability

An airport limousine can accommodate up to four passengers on any one trip. The company will...

An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 35% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.)



(b) If six reservations are made, what is the expected number of available places when the limousine departs?
places

(c) Suppose the probability distribution of the number of reservations made is given in the accompanying table.

Number of reservations     3 4 5 6
Probability 0.15 0.22 0.35 0.28

Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

x 0 1 2 3 4
p(x)    

Solutions

Expert Solution


Related Solutions

An airport limousine can accommodate up to four passengers on any one trip. The company will...
An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 40% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.) (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. Number...
An airport limousine can accommodate up to four passengers on any one trip. The company will...
An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 50% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.) (a) If six reservations are made, what is the probability that at least one individual with a reservation...
An airport limousine can accommodate up to 4 passengers on any one trip. The company will...
An airport limousine can accommodate up to 4 passengers on any one trip. The company will accept a maximum of 6 reservations for a trip, and a passenger must have a reservation. From previous records, 20% of all those making reservations do not show up for the trip. Answer the following questions assuming independence wherever appropriate. A) Assume that six reservations are made. Let X = the number of customers who have made a reservation and show up for the...
Given the following: - One bus can carry 20 passengers. - One car can carry 2...
Given the following: - One bus can carry 20 passengers. - One car can carry 2 passengers. Provide an application using PHP that calculates the number of buses and cars needed based on a number of passengers entered. You need to also calculate how many passengers will be left after all the full vehicles are determined.
Old Southwest Canning Co. has determined that any one of four machines can be used in...
Old Southwest Canning Co. has determined that any one of four machines can be used in its chili-canning operation. The cost of the machines are estimated below, and all machines have a 5-year life. If the minimum attractive rate of return is 25% per year, determine which machine should be selected on the basis of a rate of return analysis. Machine First Cost, $ AOC, $ 1 −28,000 −20,000 2 −51,000 −12,000 3 −32,000 −19,000 4 −33,000 −18,000 Machine  (Click to...
Old Southwest Canning Co. has determined that any one of four machines can be used in...
Old Southwest Canning Co. has determined that any one of four machines can be used in its chili-canning operation. The cost of the machines are estimated below, and all machines have a 5-year life. If the minimum attractive rate of return is 25% per year, determine which machine should be selected on the basis of a rate of return analysis. Machine First Cost, $ AOC, $ 1 −28,000 −20,000 2 −51,000 −12,000 3 −32,000 −19,000 4 −33,000 −18,000 Which machine...
Old Southwest Canning Co. has determined that any one of four machines can be used in...
Old Southwest Canning Co. has determined that any one of four machines can be used in its chili-canning operation. The cost of the machines are estimated below, and all machines have a 5-year life. If the minimum attractive rate of return is 25% per year, determine which machine should be selected on the basis of a rate of return analysis. Machine First Cost, $ AOC, $ 1 −28,000 −20,000 2 −51,000 −12,000 3 −32,000 −19,000 4 −33,000 −18,000 Machine should...
Old Southwest Canning Co. has determined that any one of four machines can be used in...
Old Southwest Canning Co. has determined that any one of four machines can be used in its chili-canning operation. The cost and revenues of the machines are estimated below, and all machines have a 7-year life. If the minimum attractive rate of return is 10% per year, determine the incremental rate of return of the last comparison on the basis of a rate of return analysis. (As of %) Machine First Cost, $ Annual Revenue, $ 1 −105,000 21,000 2...
Which one of the following is not one of the four elements essential for any project?...
Which one of the following is not one of the four elements essential for any project? Common project vocabulary Teamwork System evaluation Project cycle plan Project management
As a consultant for as service company (such as a hospital, airport, restaurant etc.) you can...
As a consultant for as service company (such as a hospital, airport, restaurant etc.) you can analyze their service operations in multiple ways. Three of them are: 1) application of waiting line theory, 2) application of a manual Monte Carlo Simulation and 3) Application of a simulation software such as Simquest. For each of these three, describe a business situation where you would apply this methodology, and why this approach would be superior to the other two.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT