If we sample from a small finite population without replacement, the binomial distribution should not be used becausethe events are not independent. If sampling is done without replacement and the outcomes belong to one of twotypes, we can use the hypergeometric distribution. If a population has A objects of one type, while the remaining Bobjects are of the other type, and if n objects are sampled without replacement, then the probability of getting xobjects of type A and n-x objects of type B under the hypergeometric distribution is given by the following formula. Ina lottery game, a bettor selects six numbers from 1 to 55 (without repetition), and a winning six-number combination islater randomly selected. Find the probabilities of getting exactly two winning numbers with one ticket. (Hint: UseA = 6, B = 49, n = 6, and x = 2.)P(x)=A!B!(A + B)!+(A-x)!x! (B-n+x)!(n-x)! (A + B − n)!n!P(2)=(Round to four decimal places as needed.)...

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Answered: If we sample from a small finite…

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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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?
If the sample mean falls within the central 95% of scores in the sampling distribution: We retain the null hypothesis (H0) It definitely occurred due to chance All of these are correct The sample probably came from a populationi other than the population we know about
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You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received reports of some strange things occurring in the small town of Hawkins, Indiana. Let U be a random variable equal to 1 if the citizen has been to the Upside Down and 0 otherwise. Let S be a random variable equal to 1 if a citizen reports being in the presence of a group of misfit kids who claim to be "saving the town" and 0 otherwise The table below shows the joint probability density function for the galactic population Share of Population 0.15 0.32 0.50 0.03 U 0 0 1 1 S 1 0 1 0 Round to 2 decimal places where necessary, unless otherwise stated. Leave your answer in decimals, rather than convert to percentages. A. Evaluate Fu,s (1,0): B. Calculate the share of people who have been to the Upside Down in the population. That is, E(U): C. Calculate the probability of having gone to the Upside Down conditional on meeting this band of misfit kids?. That is, Fus (11):
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there were 50 individuals selected. It was found out that 20% of the samples were fully vaccinated. Let C be the number of fully vaccinated individuals while C' be the individuals who are not fully vaccinated. Let the number of fully vaccinated individuals be random variable X. a random sample of 2 individuals were chosen for data collection. How many possible outcomes for the data collection to take place? and draw a tree diagram and place on a probability table for fully vaccinanted
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