Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimalplaces.(a) P(Z > 1.54) =5 ?(b) P(Z < 0.69) = I(c) P(-0.98 < Z < 2.13) = I

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Answered: Let Z be a standard normal random…

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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The probability distribution of the number of students absent on Mondays, is as follows: X O 1 2 3 4567 f(x) 0.02 0.03 0.26 0.34 0.22 0.08 0.04 0.01 (a) What is the probability that more than 3 students are absent. (b) Compute the expected value of the random variable X. Interpret this expected value. (c) Compute the variance and standard deviation of the random variable X. (d) Compute the expected value and variance of Y : (e) Compute the covariance Cov(X, Y) = 7X+ 3. (f) What is the value of the ratio Cov(X,Y)/Var(X) ? (g) What is the value of Cov(X, Y)/Var(X) for Y = ß0 + ß₁X ? (For this exrcise, you can use excel. No need to show all calculations, just specify the formulas and present the final values.) (a) (b) (c) (d) (e) (f) (g)
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enmath.com SCore: 27T S75 answered Question 4 Assume that 12 jurors are randomly selected from a population in which 81% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(x) 0+ 0+ 2. 0+ 3. 0+ 0.0004 0.0025 0.0123 0.0449 8 0.1195 0.2265 0.2897 11 0.2245 12 0.0798 Find the probability of exactly 6 Mexican-Americans among 12 jurors. P(x = 6) = Find the probability of 6 or fewer Mexican-Americans among 12 jurors. P(x < 6) = Does 6 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? O no O yes Check Answer 12 étv MacBook Air 14567090
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Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z > 0.53) = 0 ? (b) P(Z s -0.89) = 0 (c) P (0.30 < Z < 2.00) = O
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I need help with this:A manufacturer knows that on average 20% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.58; (b) the probability that at least y of them will not require repairs is greater than 0.84.
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Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z > 1.54) = I (b) P(Z < 0.69) %3! (c) P(-0.98 < Z < 2.13) = I