Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviationsfrom the nominal surface smoothness in coded units. The joint probability distribution of the two measurements is a uniformdistribution over the region 0 < x < 4,0 < y, and .x – 1 < y < x + 1. That is, fry (x, y) = c for x and y in the region. Determine thevalue 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: (e) For 0 < x < 1 marginal probability distribution of X isОх-116,-for 0 < x < 1;for 1 < x < 4; 0elsewhere457.5O 2for 0 < x < 1;-for 1 < x < 4; 0elsewhere151345O x+1-for 0 < x < 1;¬nfor 1 < x < 4;Oelsewhere12O x+1for 0 < x < 1;-7.54-for 1 < x < 4;0 elsewhere15114-for 0 < x < 1;for 1 < x < 4; 0elsewhere1545

Given information: The joint probability distribution of the two measurements is a uniform…

Answered: Two methods of measuring surface…

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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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…
The magnitudes of Earthquake and Tsunami are given by the variables of m and n, respectively. Their joint occurrence probability is given by the joint probability mass function as: f (m, n) = A (m2 + n?) for the magnitudes of zero, one, two and three. a) Find the value of the constant A. b) Find the mean value of the joint occurrence function of these magnitudes. c) Determine the marginal distributions of these magnitudes. d) If an earthquake of magnitude 1 occurred, find the probability of having a tsunami of magnitude 2 and greater. e) Determine if the magnitude of earthquake and tsunami are independent random variables. Prove your opinion.
II. Find the area under the standard normal distribution curve. Draw the figure and represent the area a) Between z = 0 and z = 1.49 Solution: b) Between z 0.46 and z = 2.57 Solution:
13 Let X be the standard normal distribution and consider the transformation given by Y = 1/X. Select all answers that apply. Select all answers that apply. Note exp(z) = e^z %D %3D Choose all that apply. O The density of Y is: g(y) = (1/2*pi)^(1/2) * (1/y^2)*exp(-1/(2y^2)) The density of Y is: g(y) = (1/2*pi)^(1/2) *exp(-1/(2y^2)) The values of y for which the density is non zero is y0. The values of y for which the density is non zero is y>0. %3D
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.)
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, fay (x, y) = c for x and y in the region. Determine the value for c such that fay (x, y) is a joint probability density function. Round your answers to three decimal places (e.g. 98.765). Determine the following: c = i 0.133 (a) P(X < 0.6, Y < 0.7) = i (b) P(X < 0.6) = i (c) E(X) = i (d) E(Y) = (e) For 0 < x < 1 marginal probability distribution of X is O 2 -for 0
ANSWER 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
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 0 2 5 6 y 50 44 33 26 Complete parts (a) through (e), given Σx = 13, Σy = 153, Σx2 = 65, Σy2 = 6201, Σxy = 409, and r ≈ −0.991 (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r =
subquestions 1,2 and 3 please
Let the X-values represent the times, in minutes, of preparation for a Statistics test; let the Y-values represent the points earned on the test. Assume that the sample of paired (X, Y) data is a simple random sample of quantitative data and the data have a bivariate normal distribution. Also, the scatterplot shows that the points approximate a straight-line pattern. If the sample has 35 pairs of values with (Zx,Zy,) = 11.41, and if we use a significance level of 0.05, calculate r and determine whether if there is sufficient evidence to support a claim of a linear correlation between X and Y.

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