A construction company has taken up a project to build a high-rise office complex inPenang. The time required to complete a construction project is normally distributedwith a mean of 80 weeks and a standard deviation of 10 weeks. A constructioncompany must pay a penalty if the project is not finished by the due date in thecontract.1 (a) If a construction company bidding on this contract puts in a due date of 70weeks, what is the probability that they will have to paya penalty? Your answer shouldbe in four decimal places.

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Answered: A construction company has taken up a…

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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Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 3% of the customers. What should the maximum guaranteed waiting time be? Assume that the times taken for oil and lube service for all cars have a normal distribution.Round your answer to the nearest minute.
A particular fruit's weights are normally distributed, with a mean of 429 grams and a standard deviation of 13 grams. If you pick one fruit at random, what is the probability that it will weigh between 411 grams and 467 grams > Next Question
A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115 boxes needs to be transported via this semi-truck. Research has shown that the weights of boxes for this type of cargo have a distribution that has a population mean weight of 125 pounds and a population standard deviation of 20 pounds. Based on this information, what is the probability that all 115 boxes can be safely loaded into the semi-truck and transported?
Each week a grocer purchases 60 gallons of milk at the beginning of the week. At the endof the week any unused milk must be thrown away. The demand for milk is normally distributed witha mean of 51 gallons per week and a standard deviation of 9 gallons per week. (a) What is the probability that the store runs out of milk at some point during the week? (b) What is the probability that the grocer does not run out of milk in any of the next five weeks?
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Suppose that home prices (in thousands of dollars) in a certain region have a mean of 360 and a standard deviation of 180. A realtor randomly selects a sample of 90 homes in the region. Estimate the probability that the sample mean home price from the realtor's data is greater than 400 (thousand dollars). You must justify your solution, and note any assumptions you are making.
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