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…

Answered: The number of bankruptcies filed in the…

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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Similar questions

The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. a. What is the probability that a tire will last at most 40,000 miles? b. What is the probability that a tire will last at least 65,000 miles? c. What is the probability that a tire will last between 70,000 and 80,000 miles?
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.
Crime reports from 2019 indicate that 6.2 motor vehicle thefts occur each hour in the United States. Assume that the distribution of thefts per hour can be approximated by the Poisson probability distribution. Calculate the probability that exactly 4 thefts occur in an hour.
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.
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.
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.)
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In a busy highway on the average 5 accidents happen per week. What is the probability that there will be no accidents next week? Assume that the number of accidents has a Poisson distribution.
I need help with this very soon please. If 30% of all pipework failures in the chemical plant were caused by operator error, then the probability that exactly 7 of the failures in the sample are due to operator error would be_______. Since the probability is (greater or less) than 0.05, this ( is or is not) a rare event. The 30% figure (seems or does not seem) reasonable. (Round to four decimal places)
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)

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