It is 1 in 1,000 that a birth is a case of twins.If there are 100 births in town in one day, what is the chance thattwo or more pairs of twins are born? Compare the results obtainedby using (a) Binomial dıstribution, (i) Poisson distribution.

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Answered: is I in 1,000 that a birth is a case of…

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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A study conducted at a college shows that 52% of the school's graduates find a job in their chosen field within a year of graduation. Find the probability that among 10 randomly selected graduates at most 5 find a job in his/her chosen field within a year of graduating. (Binomial Distribution)
5 out of 100 items manufactured by a machine are defective. If a random sample of 60 items are taken, find the probability of getting 6 defective items by using the binomial distribution,
The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.What is the probability of having 10 patients in the system (P 5 )?
Consider a Poisson distribution with a mean of two occurrences per time period. Compute the probability of three occurrences in one time period (to 4 decimals). Compute the probability of seven occurrences in two time periods (to 4 decimals).
The experience of a house agent indicates that he can provide suitable accommodation for 75% of the clients who come to him. If on a particular occasion, 6 clients approach him independently, Using Binomial distribution, Calculate the probability that exactly 4 clients will get satisfactory aaccommodation
The number of typing errors made by a typist has a Poisson distribution with an average of three and a half errors per page. If five or more errors appear on a given page, the typist must retype the whole page. What is the probability that the typist makes 3 errors on a page? What is the probability that a randomly selected page does not need to be retyped?
2. If electricity power failures occur according to a Poisson distribution with an average of 5 failures every 20 weeks, calculate the probability that there will not be more than one failure during a particular week.
Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?
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Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 107 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities:
Suppose that we plan to approximate a binomial distribution with parameters n and p by a Poisson distribution. What is the parameter for the Poisson distribution?
You are looking for the probability to draw 3 aces in 5 attempts from a deck of cards. There are 52 cards in the deck and 4 of them are aces. Explain why the poisson is not a good choice for describing this data-generating process. Which distribution would you use instead? No calculations necessary.

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is I in 1,000 that a birth is a case of twins. If there are 100 births in town in one day, what is the chance that two or more pairs of twins are born? Compare the results obtained by using (a) Binomial dıstribution, (b) Poisson distribution.