The problem presented involves a Poisson distribution related to bankruptcy filings in a district court, with an average rate of 4.5 per week.(a) To find the probability of no bankruptcy filings during a given week, the calculation yields 0.011.(b) To find the probability of at least one bankruptcy filing during a given week, the calculation yields 0.989.(c) Using Tchebysheff’s Theorem, the number of bankruptcy filings per week is expected to be between 0 and an unspecified number of filings at least 88.88% of the time. The answer for the upper limit is not provided in the image. Each calculation is rounded to three decimal places, and the use of Tchebysheff's Theorem involves understanding the variability and expected range within a probability distribution.

From provided information, the number of bankruptcies filled in district court has poisson…

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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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Find the value of the following hypergeometric probability distribution. Leave the answer as a number rounded to the nearest ten-thousandths: ?(3)=(93)⋅(81)(174)f(3)=(93)⋅(81)(174) Remember, just give me the number rounded to the nearest ten-thousandths.
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 8/9. What is the probability that it will rain on at least four of the six days they are there? Round your answer to the nearest thousandth.
The auto parts department of an automotive dealership sends out a mean of 4.4 special orders daily. What is the probability that, for any day, the number of special orders sent out will be no more than 5? Round your answer to four decimal places.
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A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
Use the geometric distribution to calculate the following probabilities. a.Find the probability that the first success occurs on the third trial when ?=0.3p=0.3. b.Find the probability that the first success occurs on the fifth trial when ?=0.3p=0.3. c.Find the probability that the first success occurs on the third trial or later when ?=0.3p=0.3. d.Find the probability that the first success occurs on or before the third trial ?=0.3p=0.3. e.Find the probability that the first success occurs on the second or third trial when ?=0.3p=0.3.
16. If 12P4 = 11,880 , then what is 12C4 ? * 495 330 715 220
An IPHONE has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. (a) What is the mean time to failure? (b) What is the probability that 300 hours will pass before a failure is observed? (a) The mean time to failure is hours. (Type an integer or a decimal. Do not round.) (b) The probability that 300 hours will pass before a failure is observed is (Round to four decimal places as needed.)
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.
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 weather in Rochester in December is fairly constant. Records indicate that the low temperature for each day of the month tend to have a uniform distribution over the interval 15° to 35°F. A business man arrives on a randomly selected day in December. (a) What is the probability that the temperature will be above 17°? answer: (b) What is the probability that the temperature will be between 20° and 25°? answer: (c) What is the expected temperature? answer:

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