2. (a) In June 2016, at the Brexit Referendum, 52% of people voted to leave theEuropean Union (EU). Suppose we randomly select a sample of 10 people fromthis population. Using the binomial distribution, compute the probability thatthe number of people in the sample who voted to leave the EU isi. exactly 3.ii. less than 3.iii. at least 3.

According to the given information, we have Given that 52% of people voted to leave the European…

Answered: 2. (a) In June 2016, at the Brexit…

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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Please show the full solution and proper notation and terminology. 3. A data firm records a large amount of data. Historically, 2% of the pages of data recorded by the firm contain errors. A sample of 300 pages is randomly selected. What is the probability that a. What is the probability that fewer than 5 pages contain errors? b. What is the probability that none of the pages contain errors? c. This binomial distribution can be approximated using Poisson if n>20 and np7. If this condition is true, the for Poisson distribution is equal to the mean for the binomial. Evaluate (a) using Poisson approximation if applicable. thanks.
Q5: Assume that 75% of all employees at York University are in favor of unionization. A sample of 50 York employees were taken. a. Show the sampling distribution of the proportion of the employees at York University are in favor of unionization. b. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
80. The World Bank records the prevalence of HIV in countries around the world. According to their data, "Prevalence of HIV refers to the percentage of people ages 15 to 49 who are infected with HIV."1 In South Africa, the prevalence of HIV is 17.3%. Let X = the number of people you test until you find a person infected with HIV. a. Sketch a graph of the distribution of the discrete random variable X. b. What is the probability that you must test 30 people to find one with HIV? c. What is the probability that you must ask ten people? d. Find the (i) mean and (ii) standard deviation of the distribution of X.
Q6. What is the probability of getting the expected number of Heads from 20 tosses of a fair coin when the first two tosses are both HEADS? A. 0.167 B. 0.212 С. 0.336 D. 0.488 O A. A О В. В С. С D. D
22. A sample of 400 observations will be taken from an infinite population. The population proportion equals .8. The probability that the sample proportion will be greater than 0.83 is .0668 .4332 .9332 .5668
34. A manufacturers estimates that 0.25%of his output of a component are defective. The components are marketed in packets of200. Determine the probability of a packet containing less than 3 defective components using Poisson's Distribution.
Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 9 passengers per minute. A. Compute the probability of no arrivals in a one-minute period (to 4 decimals) B. Compute the probability that three or fewer passengers arrive on a one-minute peruod (4 decimal) C. Compute the probability of no arrivals in a 15-second peruod (to 4 decimal) D. Compute the probability of at least one arrival in a 15-second period (to 4 decimals) Thank you
Twelve doctors work at a clinic, of which 3 were trained at Harvard Medical School. Four doctors are randomly selected from the 12 clinic doctors to attend a special conference. A. What is the probability that at least one of the doctors going to the conference is a Harvard Medical graduate? B. Find the standard deviation for the number of doctors out of the 4 that were trained at Harvard Medical School.
3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?
6.74 Landlines According to the Centers of Disease Controland Prevention, 44% of U.S. households still had landline phoneservice. Suppose a random sample of 60 U.S. households is taken.a. Find the probability that exactly 25 of the households sampled stillhave a landline.b. Find the probability that more than 25 households still have a landline.c. Find the probability that at least 25 households still have a landline.d. Find the probability that between 20 and 25 households still have alandline.

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