Suppose that X-bin(75,0.2).Using the normalapproximation to thebinomial distribution, P(14.< X<= 16. ) is closest to:O a. 0.28O b. 0.25О с. 0.33O d. 0.22Ое. О.17

Answered: Suppose that X~bin(75,0.2). Using 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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Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 400, what is the standard deviation of that sample?
Suppose Y ~ N (6,8). Find a symmetric interval around the mean such that the probability of an observation of Y lies within the range is .85. Suppose you collect a sample of 54 observations on Y. What is the distribution of the sample mean?
4.1 Suppose X ~ N(15, 6). What value of x is 1.5 standard deviations to the left of the mean? Round to one decimal place
In China, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5 hours and the amount of time spent alone is normally distributed. We randomly survey one Chinese 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.Give the distribution of X.X ~
9. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson distribution is a suitable model, find the variance. O a. .3701 оь.1901 О с. 2075 O d.1016 O e. None of the above Previous page
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
4. Given a binomial distribution X~b(n,p) with parametersn = 50 and p = 5%. a) Determine the mean and the standard deviation.
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 6666 inches and a standard deviation of 2.52.5 inches. Suppose one Asian adult male is randomly chosen. Let X=X= height of the individual. (a) State the distribution of XX. X∼NX∼N (( , )) (b) Find the probability that the person is between 6464 and 6969 inches.Select the correct graph for the situation with shading for the region corresponding to the probability. Round your answer to four decimal places, if necessary.The probability that the person is between ‌6464 and ‌6969 inches is . (c) Would you expect to meet many Asian adult males over 7474 inches? Explain why or why not, and justify your answer numerically. Yes, the probability that an Asian male is over 7474 inches tall is 0.00070.0007. Yes, the probability that an Asian male is over 7474 inches tall is 0.99930.9993.…
Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 100, what is the standard deviation of that sample?
The mean amount of time it takes a kidney stone to pass is 16 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person with a kidney stone will take longer than 12 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 10000, what is the standard deviation of that sample?
Suppose that X~N(500,100). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 500. What is its standard deviation, if you took a sample of size n = 10000?

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Suppose that X~bin(75,0.2). Using the normal approximation to the binomial distribution, P(14.< X <= 16. ) is closest to: О а. 0.28 O b. 0.25 О с. 0.33 O d. 0.22 О е. 0.17