2. Assume a discrete random variable X follows a discrete distribution, where the possible valuesof X are 0, 2, 4, 6, with the corresponding probabilities 0.3, 0.2, 0.2, and 0.3, respectively.Generate a sample of 10000 values from the given discrete distribution and see how close thesample mean and standard deviation to the theoretical values.3. Let random variable y follows a binomial distribution, Binomial (8, 0.5).a) Calculate P(Y=5)b) Calculate P(Y<3) and P(Y>6).c) Draw 50,000 samples from this binomial distribution and draw a bar plot.

The discrete distribution is given asXprobability 00.320.240.260.3want to generate a sample of 10000…

Answered: 2. Assume a discrete random variable X…

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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If x represents a random variable with mean 131 and standard deviation 40, then the standard deviation of the sampling distribution of the means with sample size 100 is 4. O True O False
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 17 16 18 15 12 14 17 17 11 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. a: μ = 14; H1: μ < 14 b: μ = 14; H1: μ ≠ 14 c: μ > 14; H1: μ = 14 d: μ < 14; H1: μ = 14 e: μ = 14; H1: μ > 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume…
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. Suppose we randomly select 14 different fire ant workers having weights F1, F2, , F14. Let S = F1 + F2 + ...+F14 and let M = S/14. This means S is the sample sum and M is the sample mean of the selected ant weights. (Note: random selection means F1 F14 are independent.). Assume the Fis are normally distributed. j) What is the expected value of M - 3.11 ? k) What is the standard deviation of [(M - 3.11)/49]/srt14
17).
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
Q4. Identify the incorrect statement below: The estimator, X from a random sample of X A. Is the mean of the population of X. B. Is an unbiased estimator of the population mean. C. Has an expected value equal to the mean of X. D. Is a random variable with a variance smaller than the variance of X. O A. A ОВ. В С. С O D. D
Assume that the mean length of a toothpick is mu = 6 cm , with a stand deviation of sigma = 0.14 cm . 1. If we were to select one toothpick at random, what is the probability that it is longer than 6.004 cm? 2. if we weee to select a Random sample of 45 tooth picks, what is the probability that the sample mean is longer than 6.004 cm?

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