19. (a) Define the joint distribution and joint distribution function of a bivariate ran- dom variable. (b) Define its marginal distributions and marginal distribution functions. (c) Explain how to compute the marginal distribution functions from the joint distribution function.
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- (b) Determine the marginal distributions of X and then of Y. (c) Find the conditional distribution of Y|X = x.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 40 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 ? = 7.80 ml/kg for the distribution of blood plasma. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.00 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefightersTotal 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 50 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 ? = 7.20 ml/kg for the distribution of blood plasma. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.50 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) ______ male firefighters
- Calculate the number based cumulative frequency distribution, Qn, and differential frequency distribution, qn, and tabulate values (showing units) at appropriate grid points xi. answers attachedAsset W has expected return of 11.6% and a beta of 1.23. If the risk free rate is 3.15%, complete the following table for portfolios of asset W, and a risk free asset. Illustrate the relationship between portfolio, expected return and portfolio beta by plotting the expected returns against the betas in a graph. What is the slope of the line that results? Results are in the table I just need the excel graph!!!! Percentage of portfolio asset in W. Portfolio expected return. Portfolio beta. 0% = (0 x 0.116) + (1 x 0.0315) = 3.15% 0 25% = (0.25 x 0.116) + (0.75 x 0.0315) = 5.26% = 1.23 x 0.25 = 0.3075 50% = (0.50 x 0.116) + (0.50 x 0.0315) = 7.37% = 1.23 x 0.50 = 0.615 75% = (0.75 x 0.116) + (0.25 x 0.0315) = 9.48% = 1.23 x 0.75 = 0.9225 100% = (1 x 0.116) + (0 x 0.0315) = 11.6% = 1.23 x 1 = 1.23 125% = (1.25 x 0.116) + (-0.25 x 0.0315) = 13.71% = 1.23 x 1.25 = 1.5375 150% = (1.50 x 0.116) + (-0.50 x 0.0315) = 15.82% = 1.23 x…otal 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 46 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 ? = 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 ___ upper limit ___ margin of error ___ (b)What conditions are necessary for your calculations? (Select all that apply.) A-the distribution of volumes is uniform B-? is known C-the distribution of volumes is normal D-? is unknown E-n is large d)Find the sample size necessary for a 99% confidence level with maximal margin of error E =…
- A survey was conducted where 27 students were asked which social media app is their favorite, Twitter or Tiktok. male female twitter 4 4 TikTok 4 15 Describe the marginal distributions Based on your display and the conditional distributions, are your variable independent or not independent? Explain.nN(dp) is define as the “number distribution function” , where dp is the particle diameter. Assume nN(dp) is a normal distribution with a mean of 10 µm and a standard deviation of 2 µm. The total number concentration of particles of all sizes is 10,000 particles cm-3. What is the number concentration of particles in the size range 10 µm and 14 µm?The standard error of the mean (Qx) is a(n) estimate of population means which make up the sampling distribution. indication of variability in the distribution of sample means indication of variability in the raw data derived from the sample measure of variability in the population