4.120 Find some means. Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Find the mean of the random variable Z for each of the following cases. Be sure to show your work. (a) Z = 2 + 10X. (b) Z = 10X – 2. (c) Z = X + Y. (d) Z = X – Y. (е) Z %3D — 3Х — 2Y. - %3| - -

4.120 Find some means. Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Find the mean of the random variable Z for each of the following cases. Be sure to show your work. (a) Z = 2 + 10X. (b) Z = 10X – 2. (c) Z = X + Y. (d) Z = X – Y. (е) Z %3D — 3Х — 2Y. - %3| - -

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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I need some help with my stats homework. This comes from the textbook introduction to the practices of statistics ninth edition. Can you help me please. Only do (d)
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K A population has a mean μ = 134 and a standard deviation o = 26. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 59. σ- The mean is μ- =, and the standard deviation is o- = (Round to three decimal places as needed.) X Z-
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How do you find the mean and variance of part(d)?I need the detailed solution.
QI: Let x be random variable with the following (p.d.f): x20 f(x) = 0. W Find: 1. The constant C? 2. The c.d.f ? 3. P(10 f(x) = O. W 1. Write the moment generating function for X ? 2. Use this moment generating function to compute the first and second moments of X ? Q3: Suppose the (p.m.f) f the random variable X is 3 f(x) 0.2 0.1 0.4 0.3 Find: 1. The V(x)? 2. The E(4x) ? 3. The E(3x+2x)? Q4: Find the V(x) by using the mgf of the random variable x that has the pmf equal to 0.5 for x=-2 and x= 2 ? Q5: If X be random variable such that E[(X - 1)1 = 10, E[(X - 2)21 = 6, find V(x)? Q6: Given that has the following (p.m.f): f(x) = ;x = 0,1, 2, 3 Find the moment-generating function of this random variable and use it to calculate V(x) ? 07: Let x be random variable with the following (p.d.f): f(x) = 0. W Such that P(x < M (0)) Compute the value of b? %3D
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Which of the following statement is INCORRECT? If Y, follows the standard normal distribution and Y, follows a chis-square distribution with degrees of freedom n, then nY/Y t distribution. If X1,.., Xn is a random sample from a normal population with population mean 1 and variance 1, then (X -1) + (X - 1 (X, - 1) follows a chi-square distribution with degrees of freedom n. If X,..., Xn is a random sample from a normal distribution with population mean 0 and a known variance o, then must follow a distribution, where X denotes the sample mean and S denotes the sample standard deviation. If T follows at distribution with degrees of freedom n, then T must follow an F distribution with degrees of freedom 1 and n.