Given the CDF Fy(9) of random variable Y 1 0.8 0.6 0.4 0.2 0 1 2 3 4 5 y Is Y discrete or continuous? Explain. Plot the PMF/PDF of random rariable Y (whichever is applicable). What is the value of P[1 < Y < 4]?
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- ll T-Mobile LTE 7:51 PM 84% Done 9 of 12 MI+I EU FEL I| e 6 a FJ O O: + i stucient desmos.com/sctivitybuilderatiudent/80074F7UOH264d0cbd95700tscreenid-lalac431-C101-4449 b2at-a500107cotca Update Appe 6 CnCoura Con Ciara Destiny sho. 9 Empleyment Center 4 Locin l Sereion Excirntip. b Salrg Assoclate.. siar n P View utrs Pro. O Nursieg: Tradtion... = Unit 4, Lesson 13: Experimenting Dsetiny Olaagbu 3 of 13 Nuxte> Randomizing Satisfaction The table represents the data collected from from the previous activity. Complete the final column. Trial (Group 1's moan) minus (Group 2's mean) Group 1's mean Group 2's mean Actual 1.1 3.6 1 4 2 3.6 4.4 3 4 4. 4.4 3.6 4 4.4 3.6 4.2 38 4 4 10 1.4 4. 3 4 del W Y A S G H J K V option command command option !! BConsider a random sample X₁, X2,..., Xn from the pdf f(x) = (1 + 0x) −1≤x≤1 where -1 < 0 <1 (this distribution arises in particle physics). Show that = 3X is an unbiased estimator of 0.Suppose that X is a Normal random variable with E(X) = 1 and Var (X) = 1. Define Y =2X + 1. Find P(0 < Y < 2). Find the probability that Y is negative.
- The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. Calculate the t statistic: t= (round to one decimal)α = 0.01 for a right tailed test. Find the critical z value.Below is the pdf for the random variable X: f(x) = 4 X 5 (2) 0, x = 0, 1, 2 otherwise Find F(1.5). If needed, round to FOUR decimal places.
- Please answer with a proper explanation.Find the value of k which make the following function a pdf (15 y - 2 sys0 64' 64 fW) ={ 3 + ky 0 < y< 3 8 elsewhere What is the P(-1 < Y S 2)? Find the cumulative distribution function of Y. Find the variance of Y.1. Let X be an RV with PDF a. Find the mean of X. b. Find the variance of X. f(x) = {¹ -=| - |x| for x < 1 otherwise
- 3. Fill in the blank spaces of table B1 using information compiled in table B. Table B Breusch-Godfrey Serial Correlation LM Test: Prob. F(2,55) Prob. Chi-Square(2) F-statistic 11.70006 0.0001 Obs*R-squared 17.90823 0.0001 Table B1: Breusch-Godfrey Serial Correlation LM Test F-statistic: Probability: a. Write down the null and alternative hypotheses underlying Breusch-Godfrey serial correlation (autocorrelation) test. b. Will you accept or reject the null hypothesis based on the Breusch-Godfrey test for residual autocorrelation? Why or why not?Suppose the random variable X has the following PDF: 2 √2π This distribution is often called half-normal. Find E(X) and V(X). f(x) = , for x > 0.Let X be a random variable with p.d.f f(x) =x(9-x),0 sI5 3. Find the mode.