5.76 If two random variables have the joint density (x+y-) for 0
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A: f(x,y) = cx , 0 <y<c<1.44 a) We know that,
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A: It is continuous random variable. Because beta is continuous distribution.
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- Consider two continuous random variables X and Y with joint pdf f(x,y)= 24x for 0please help2. Let X and Y be jointly continuous random variables with joint PDF x + cy2 0, OSXS1,0Sys1 elsewhere a) Find the constant c Find the marginal PDF's fy(x) and fy(y) c) Find P(OSXS1/2,0SYS1/2) b)3. Suppose Y is a random sample of size 1 from a population with density function Oyº-1 0 0.5. (b) The hypotheses are Ho : 0 = 0, versus Ha : 0 > 00. What is the value of 00 if the signficance level of the test specified in (a) is 0.10? (c) Suppose a random sample of n = 7 observations is taken from this population to test the hypotheses Ho : 0 = 2 versus Ha : 0 > 2. As a decision rule, the experimenter plans to record X, the number of that exceed 0.9, and reject if X > 4. That is, the experimenter plans to use the test: ys 1 X >4 $(X) = { 0 x < 4 What is the probability of making a Type I error? Need Your Help with Part - (c)A continuous random variable has density function (Зx2 for 0 0. The ratio of the mode of this distribution to the median is:5. Let (*1, x2, ., Tn) be a random sample from the distribution f (x) = Ax^-1; 0 0. Find the moment estimator of A.Suppose that the amount of time a hospital patient must wait for a nurse's help is described by a continuous random variable with density function f(t) = e-t/3 where t≥ 0 is measured in minutes. (a) What is the probability that a patient must wait for more than 4 minutes? (b) A patient spends a week in the hospital and requests nurse assistance once each day. What is the probability that the nurse will take longer than 5 minutes to respond on (exactly) two occasions? (c) What is the probability that on at least one call out of seven, the nurse will take longer than 7 minutes to respond?Which of the following is the correct sum of squared residuals to be minimized to find tne fit f(x) = £ (2r-1)"* - using a data set ((xo, Yo), (x1,y1), --, CKn. Yn)} ? A.) Eo(In(y;) + a – b2x; + 1)² B.) E-(In(y;) + In a + b In(2x; – 1))² D.) E7-o(In(y;) – In a – b In(2x; – 1))² E.) E-o(In(y;) + In a – b2x; + 1)²EL 466 416 13.) The continuous random variable (RV) X is uniform over [0,1). Given Y = -ln X what is P({0Exz fet X, X2, Xn fat X, Xz, be a random dist ribution witk sample from Hhe 'parameter A Paissen Estimate 1.Let X and Y be independent random variables. X is N(1,9) and Y is uniform on the interval {--1, 1]. Lat Write down the joint density for (X,Y) o Give the mean and variance of Y c) Give the median of X I dY Give the correlation coefficient p of X and YLet the random variable X have'the marginal density 1 f, (x)= 1, 1SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON