Soru 15Let the random variable X shows the number of tires on a randomly selected automobile that are underinflated.The pmf of X is given by;34p(x)0.40.10.10.10.3P(at most 1 tire is under inflated)-?O a. 0.4O b. 0.1O c. 0.5O d. 0.6Oe.0.3

Given data is x 0 1 2 3 4 P(x) 0.4 0.1 0.1 0.1 0.3

Answered: Let the random variable X shows 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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Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x: 21 0 12 11 31 21 11 −14 −17 −8 y: 8 −2 26 14 15 21 13 −2 −2 −2 (a) Compute Σx, Σx2, Σy, Σy2. Σx Σx2 Σy Σy2 (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers to four decimal places.) x y x s2 s (c) Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal places.) x y Lower Limit Upper Limit
O Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. 0.310 0.340 0.248 0.367 0.269 Conclusion X 0.318 y 2.9 (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round only r to three decimal places.) Eyl % t Conclusion 7.8 a= Exal (b) Use a 5% level of significance to test the claim that p = 0. (Round your answers to three decimal places.) critical t Ex²=1 4.0 8.6 Ev=l (c) Find S, a, and b. (Round your answers to four decimal places.) b= 3.1 Reject the null hypothesis, there is sufficient evidence that p differs from 0. Reject the null hypothesis, there is insufficient evidence that p differs from 0. Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. Fail to reject the null hypothesis, there is sufficient evidence that p…
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of heads in each outcome. For example, if the outcome is tth, then =Rtth1. Suppose that the random variable X is defined in terms of R as follows: =X−R2−3R4. The values of X are given in the table below. Outcome htt tht hth thh ttt hhh hht tth Value of X −6 −6 −6 −6 −4 −4 −6 −6 Calculate the values of the probability distribution function of X, i.e. the function p X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.
TF.9 Let Z be a standard normal random variable. Find... a) P(-1.35 ≤ Z ≤ 2.48) b) the value of z so that P(Z ≥ z) = .1230

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Let the random variable X shows the number of tires on a randomly selected automobile that are under inflated.The pmf of X is given by; 1 2 4 p(x) 0.4 0.1 0.1 0.1 0.3 P(at most 1 tire is under inflated)-? O a. 0.4 O b. 0.1 Oc. 0.5 O d. 0.6 O e. 0.3