The time between arrivals of taxis at abusy intersection is exponentiallydistributed with a mean of 16 minutes.(a) What is the probability that you waitlonger than one hour for a taxi?(b) Suppose you have already been waitingfor one hour for a taxi, what is theprobability that one arrives within thenext 10 minutes?Round your answers to 4 decimal places.(a)i(b)i

Answered: The time between arrivals of taxis at 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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T15 Suppose that 90% of drivers are "careful" and 10% are "reckless." Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver the probability is 0.4. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
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The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds. What is the probability that the arrival time between vehicles is 10 seconds or less? (Round your answer to four decimal places.) (c) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.) (d) What is the probability of 32 or more seconds between vehicle arrivals? (Round your answer to four decimal places.)
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."
The annual rainfall (in inches) in a certain region is normally distributed with mean = 40 and o=4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? What assumption are you making?
Help me with this problem please
New spark plugs have just been installed in a small airplane with a two-cylinder engine. For each spark plug, the probability that it is defective and will fail during its first 20 minutes of flight is 1/1,000, independent of the other spark plugs.(a) What is the probability that none of the two spark plugs will fail during the first 20 minutes of flight? (Round your answer to four decimal places.)(b) What is the probability that at least one of the spark plugs will fail? (Round your answer to four decimal places.)
A sales representative in the music section of Best Buy notes that 15 percent of her customers buy 'The Best of Norah Jones' and 'Classical Guitar by John Williams'. She also knows that 80 percent of customers buy 'Classical Guitar by John Williams'. Given that one of her customers bought 'Classical Guitar by John Williams', what is the probability that the customer will also buy 'The Best of Norah Jones'? (Round your answer to 3 decimal places) 0.800 0.150 0.650 0.188 None in the list
Please solve (b) only!

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