1) A form of transportation is to be provided between two cities that are 200 miles apart. Thealternatives are highway (H), railway (R), or air transport (A); the last one meaning the construction ofairports in both cities. Because of the relative merits and costs, the odds that a committee of plannerswill decide on R, H, or A are 1 to 2 to 3, only one these three means can be constructed.However, if the committee decide to build a railroad (R), the probability that it will be completed in oneyear is 50%; if it decide on a highway (H), the corresponding probability is 75%, and if it is decided on airtravel, there is a probability of 90%(a) What is the probability that the two cities will have a means of transportation in one year?(b) If some transportation facility between the two cities is completed in one year, what is theprobability that it will be air transportation?(c) If the committee decides in favor of land facilities, what is the probability that the final decision willbe for a highway (H)?

Answered: Image /qna-images/answer/740576c8-5ca6-4e6f-a06b-4fc57a931fc6.jpg

Answered: 1) A form of transportation is to be…

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...

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Complete the following probability distribution table: Probability Distribution Table P(X) 0.3 16 24 0.2 34 0.3 Submit Question
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 13% chance of returning $11,000,000 profit, a 25% chance of returning $2,000,000 profit, and a 62% chance of losing the million dollars. The second company, a hardware company, has a 14% chance of returning $6,000,000 profit, a 39% chance of returning $3,000,000 profit, and a 47% chance of losing the million dollars. The third company, a biotech firm, has a 7% chance of returning $6,000,000 profit, a 40% of no profit or loss, and a 53% chance of losing the million dollars.Order the expected values from smallest to largest. third, first, second third, second, first first, second, third first, third, second second, third, first second, first, third
A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $ 47 for each device for up to 2 GB of data per device. The Mobile Share Plan: $ 180 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $ 30 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. Find the model of the total cost of the Family Plan $ Find the model of the total cost of the Mobile Share
A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 14% chance of returning $8,000,000 profit, a 19% chance of returning $1,500,000 profit, and a 67% chance of losing the million dollars. The second company, a hardware company, has a 15% chance of returning $9,000,000 profit, a 37% chance of returning $3,500,000 profit, and a 48% chance of losing the million dollars. The third company, a biotech firm, has a 15% chance of returning $6,000,000 profit, a 28% of no profit or loss, and a 57% chance of losing the million dollars.Order the expected values from smallest to largest. first, third, second third, first, second third, second, first second, first, third first, second, third second, third, first
An automobile company produces cars in Los Angeles and Detroit and has a warehouse in Atlanta.The company supplies cars to customers in Houston and Tampa. The costs of shipping a car betweenvarious points are listed in the table below, where a blank means that a shipment is not allowed. LosAngeles can produce up to 1100 cars, and Detroit can produce up to 2900 cars. Houston must receive2400 cars, and Tampa must receive 1500 cars. (Include your formulations to receive credit. Thinkcarefully about the transhipment locations.) (a) Determine how to minimize the cost of meeting demands in Houston and Tampa. (b) Modify the answer to part (a) if shipments between Los Angeles and Detroit are not allowed. (c) Modify the answer to part (a) if shipments between Houston and Tampa are allowed at a cost of$5 per car.
A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 13% chance of returning $4,000,000 profit, a 30% chance of returning $1,500,000 profit, and a 57% chance of losing the million dollars. The second company, a hardware company, has a 14% chance of returning $4,000,000 profit, a 41% chance of returning $1,500,000 profit, and a 45% chance of losing the million dollars. The third company, a biotech firm, has a 5% chance of returning $9,000,000 profit, a 32% of no profit or loss, and a 63% chance of losing the million dollars.Order the expected values from smallest to largest.

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