An automobile dealer owns two dealerships that are located 500 miles apart. Auto salesat each location are independent of sales at the other. Probabilities of high, normal andlow sales in each region next quarter are as follows:Sales LevelLocation ALocation BHigh.3.4Normal4.4Low.3.2The probability that both locations will have high sales next quarter is (E)O a. 10%O b. 35%O c. 12%O d. 15%

Here Given Automobile dealer owns two dealership at two different location And Probability of…

Answered: The probability that both locations…

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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Q1
The distribution of the time until a Web site changes is important to Web crawlers that search engines use to maintain current information about Web sites. The distribution of the time until change (in days) of a Web site is approximated in the following table. Days until Probability Changes 1.5 0.05 0.25 0.35 0.20 0.15 3 4.5 7 Calculate the probability mass function of the days until change. *Answers should be in rational numbers with 2 decimal places.
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 16 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose you have already been waiting for one hour for a taxi, what is the probability that one arrives within the next 10 minutes? Round your answers to 4 decimal places. (a) i (b) i
suppose that on-the-job injuries in a textile mill occur at the rate of 0.1 per day. A, what is the probability that two accidents will occur during the next (five-day) work week? B, in the probability that four accidents will occur over the next two work weeks, the square of your answer to part (a) explain?
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It has rained for 18 days out of the last 30. Using this information, what is the likelihood that it will rain tomorrow?
The waiting time T at a bank teller’s window between two successive customers isdistributed as exponential with a mean of four minutes. Find the following probabilities:(a) P(T ≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), and (d) P(T < 5). NOTE: Please explain each part, so the problem can be used as a Study Guide
Suppose the you have to take a bus to work. The amount of time until the next bus arrives follows an Exponential distribution with mean 7 minutes. (a) What is the probability that the next bus will arrive within 5 minutes? (b) 90% of all buses arrive within how many minutes of the previous bus? (c) Suppose the bus still has not arrived within 9 minutes of the last bus. Knowing that, what is the probability that the next bus will take at least 15 minutes to arrive? (d) Suppose that the amount of time the next bus arrives is independent of each next bus with the same distribution (Exponential with mean 7). What is the probability that the next bus arrives in less time than the next next bus (i.e. a second bus)?
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 30,000 and 40,000 . Assume that a confidence interval estimate of the population mean annual starting salary is desired. a. What is the planning value for the population standard deviation? b. How large a sample should be taken if the desired margin of error is500 ? Round your answers to next whole number. 190? -- 140? -- c. Would you recommend trying to obtain the margin of error? Explain.
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The probability that a person will be born between weeks 18 and 52 is P(18<x<52)P(18<x<52) = The probability that a person will be born after week 40 is P(x > 40) = P(x > 10 | x < 47) =
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The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes. (a) Find the probability that a customer has to wait more than five minutes. (Round your answer to three decimal places.) (b) Find the probability that a customer is served within the first one minutes. (Round your answer to three decimal places.) X (c) The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 2% of her customers. What should the advertisement say? (Give your answer to the nearest integer that satisfies the conditions.) "If you aren't served within minutes, you get a free hamburger."

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