Exercise 4.3 Two measurement methods are used to evaluate the surface smoothnes: a paper product. Let X and Y denote the measurements of each of the two methods. 1. Suppose that the joint p.dfof X and Y is modeled by fs (x, y) = c, 0
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- Please see attached mathematical statistics question attached. How to determine the limiting distribution of Zn?let X and Y are two random variables with p.d.f as f(x,y)=3x2y+3yx2 0<x<1 0<x<1.find conditional density of X given Y?.Find mean mode and standard deviation of r.v Y?. Correlation between X and Y?. check that X and Y are independent or not?.a and b please thank you!!
- Typed My feedback depends on how good quality solution I getThe table above preformed Likelihood Ratio Tests comparing each model to the saturated model (ZXY). Preform a Likelihood Ratio Test to determine which model fits the data better comparing model (ZX,XY) to model (ZX,ZY,XY), select the appropriate answer. Use an alpha of 0.05.y 2 4 1 ГО.1 0.157 P(X, Y) = x3 0.2 0.3 %3D 5 Lo.1 0.15] a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3).
- For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the male and Y the weight in grams of the female. Assume that X and Y have a bivariate normal distribution with #x = 415, o = 611, y = 347 and o=689. The correlation coefficient between X and Y is p = -0.25. (b) Determine the marginal distributions of X and then of Y. (c) Find the conditional distribution of Y|X = x. (d) Find E(Y|X = z) and Var(Y|X = x).Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in coded units. The joint probability distribution of the two measurements is a uniform distribution over the region 0<x<4, 0<y, and x-1<y<x+1. That is, fxy(x,y)=c for x and y in the region. Determine the value for c such that fxy(x,y) is a joint probability density function. Round your answers to three decimal places (e.g. 98.765).Determine the following: b) E(Y|X=2)= c) P(Y<2.1|X=2)=Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.50 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit 1 upper limit 2 margin of error 3 (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal σ is known the distribution of weights is uniform σ is unknown (c) Interpret your results in the context of this problem. 1% of the intervals created using…
- Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.39 parts per million and the standard deviation is 2.09 parts per million. At a = 0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state H, and Ha. Which of the following correctly states H, and H,? Ho: = |2.33 Hạ: < 2.33 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = (Use a comma to separate answers as needed. Round to two decimal places as needed.)The number of dollars a round trip plane ticket costs from North America to Europe is normally distributed with a mean of $1,780 and a standard deviation of $335. What is the probability a randomly selected ticket costs between $775 and $2,785? Enter your answer in decimal form. For example. 75% should be entered as 0.75ANSWER LETTER D ONLY Two measurements method are used to evaluate the surface smoothness of a paper product. Let X and Y denote the measurement of each of the two methods. a). Suppose that the joint p.d.f. of X and Y is modeled by fxy(x,y) =c, 0<x<4,0<y and x-1<y<x | 1. Determine the value of c. b). Determine the marginal probability distribution of X. Find also the mean and variance of X. c). Determine the conditional probability distribution of Y given X-2. Find also the conditional mean and conditional variance of Y given X=2. d.) Check if the measurements of the two methods X and Y are independent