4. Suppose the number of accidents per year in a large factory follows a Poisson distribution with A = 5per year. For a)-d), make sure to 1) define a random variable, 2) state its distribution, and 3) rephrasethe question as a probability expression, as we have done in class.a) What is the probability that there are exactly 4 accidents in a given year?b) What is the probability that there are exactly 6 accidents in a given 6-month period?c) What is the probability that there is at least 1 accident in a given month?d) What is the probability that there are more than 12 and less than 16 accidents in a given 3-yearperiod?

Answered: 4. Suppose the number of accidents per…

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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16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
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According to an airline, flights on a certain route are on time 75% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. N=25 P=0.75 (c) Find and interpret the probability that exactly 14 flights are on time. (d) Find and interpret the probability that fewer than 14 flights are on time. (e) Find and interpret the probability that at least 14 flights are on time. (f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time. (c) The probability that exactly 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected…
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