51. A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.a. What is the probability that any particular cab will run for a full year withoutsuffering a breakdown?b. What is the probability that the entire fleet will run for one month without abreakdown?c. On the average, how many breakdowns would the fleet expect in a typical three-month period?

Given Information Failure rate of an item chosen at random λ = 2

Answered: 51. A local cab company maintains a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to government data, 73% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women are randomly selected: a. What is the probability that exactly 2 of them have never been married? b. That at most 2 of them have never been married? c. That at least 13 of them have been married?
1. The probability that an albino rat will survive a medical experiment is 0.40. If ten animals are treated in the experiment, a. what is the probability that at least 8 will survive the experiment? b. what is the probability that at most 3 will survive the experiment?
6. Clinical trials have shown that 90% of the patients with severe migraine experience relief of their pain after taking the drug Nimodipine. Suppose 15 migraine patients try Nimodipine. a. What is the probability all of the patients experience relief? b. What is the probability only 10 patients experience relief? What is the probability at least 12 patients experience relief? d. What is the probability at most 10 patients experience relief? e. How many are expected to experience relief?
A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? L
4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?
1. The probability that a manufactured bulb works properly is 98%. a. In a pack of six, what's the probability that all bulbs work? b. In a pack of six, what's the probability that 4 or less work? c. In a pack of 8, what's the probability that more than 5 work? d. In a pack of 10, what's the probability that exactly half work? In a pack of 4, what's the probability that all are broken?
7. According to a college survey, 22% of all students work full time. In a survey of 14 students, what is the probability that no more than 2 of them work full time?
Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
10. According to a Los Angeles Medical Malpractice Law Firm, there are on average 12,414 cases of medical malpractice reported to the NPDB annually. Of these, approximately 5,342 are due to negligence. a. Calculate the probability that an individual randomly selected medical malpractice report is due to negligence. b. Calculate the probability that an individual randomly selected medical malpractice report is not due to negligence. C. It 4 different malpractice suits were randomly selected, what is the probability that all four were not due to negligence.
5.Approximately 64% of the people murdered actually knew their murderer. Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer?

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