Question 1Determine the mean of the random variable in the following data:Xf(x)1/206/20O-3OC-31/20-16/2006/20A Moving to the next question prevents changes to this answer.16/2031/20

x p(x) x*p(X) -3 1/20 -3/20 -1 6/20 -6/20 0 6/20 0 1 6/20 6/20 3 1/20 3/20

Answered: Question 1 Determine the mean of 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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QUESTION 8 Assume that Z is a standard normal random variable, find the following probabilities: 3.1. P(1.80 sZ s2.50) 3.2. P(Zs3.60) 3.3. P(Zs2) 3.4. P(Z21) 3.5. P(Zs-1.80).
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 denote the sample average for a random sample with mean uu and variance 02. Consider the following estimator for u: W=n+2/n+1°X Is W as consistent estimator of u? a. Yes b. No c. It depends
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…
O Three uncorrelated random variables X1, X, andX3 have means 1, - 3 and 1.5 and second moments 2.5, 11 and 3.5 respectively. Let Y = X1- 2X2+ 3X3 be a new random variable. Find (a) mean value (b) variance of Y.
1 Select one: ANB AUB NONE The variance of the following data equals: 0. 1 3 4 f (X) 1/ 3. 6/ Select one: NONE 4/3 6) 3.
Compute mean, variance, and standard deviation
I need the answer as soon as possible
1. Six batteries taken at random from a large lot were subjected to life tests with the following results: 19, 22, 18, 16, 25, and 20 hours. Find the probability that the sample mean of x= 20 hours, as observed here, or one less than 20 hours could arise if the true mean of the lot of batteries is 21.5 hours, assuming a known variance of o = 10 hours, for the individual batteries in the lot. %3D
21 0.2 2. Find the variance and the standard deviation of the probability distribution of the random variable X which can take only the values 2, 3, 5, 7, 11, and 13, given that P(2)= 0.15, P(3)= 0.25, P(5)= 0.15, P(7)= 0.10, P(11) = 0.30, and P(13)= 0.05 3. A radio station has six telephone lines. If the host is unable to talk or is talking to another person, the other callers are placed on hold. When all lines are in use, others who are trying to call in get busy signal. The probability that 0, 1, 2, 3 or 4 people will get through is 0.22, 0.10, 0.21, 0.23, and 0.24, respectively. Find the variance and the standard deviation for the distribution. 237
Example 3.6.4 Let X have the N(10, 16) distribution (ie. Ganssian distribution with mean 10 and variance 16). Find the munerical values of the following probabilities: P{X 2 15), PEX <5), P{X² 2400), and P{X = 2}.

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Question 1 Determine the mean of the random variable in the following data: -3 0 1/20 6/20 X f(x) O 1/20 6/20 O-3 O 0 -1 6/20 1 6/20 3 1/20