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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- 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 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 firefightersSecond part of c, as well as parts d and eCalculate the number based cumulative frequency distribution, Qn, and differential frequency distribution, qn, and tabulate values (showing units) at appropriate grid points xi. answers attached
- Hello, Can someone please show how to solve this problem? Thank you so much!A function has a graph which passes through the point (2,3) and its graph also has the property that the normal line to each point (x,y) on the graph passes through the point (2,0). Find the function?What the the estimated marginal effect at the mean?
- What is the symbol for the residual?27 - It is believed that, the average numbers of hours spent studying per day (HOURS) during undergraduate education should have a positive linear relationship with the starting salary (SALARY, measured in thousands of dollars per month) after graduation. Given below is the Excel output for predicting starting salary (Y) using number of hours spent studying per day (X) for a sample of 51 students. NOTE: Only partial output is shown. The value of the measured t-test statistic to test whether mean SALARY depends linearly on HOURS is Regression Statistics Multiple R R Square Adjusted R Square 0.8857 0.7845 0.7801 Standard Error 1.3704 Observations 51 ANOVA df SS MS F Significance F Regression 335.0472 335.0473 178.3859 Residual 1.8782 Total 50 427.0798 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept -1.8940 0.4018 -4.7134 0.0000 -2.7015 -1.0865 Hours 0.9795 0.0733 13.3561 0.0000 0.8321 1.1269 Note: 2.051E–05 = 2.051*10-05 and 5.944E – 18 =5.944 *10-18 a) -4.7134…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
- Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 100 pounds and a standard deviation of 38.6 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. ux= o-x= graph=Q2. Product-Limit estimation is applied to estimate the survival function for a set of lifetime data in the XJTLU Insurance company. There are 50 lives under observation at time 0. The death and right censoring experience is as follows: Time Deaths 1 2 3 4 5 6 4 8 6 6 8 6 Right-Censorings 2 0 4 4 2 Find the estimated mean time until death from time 0.The amount of sewage and industrial pollutants dumped into a body of water affects the health of the water by reducing the amount of dissolved oxygen available for aquatic life. Suppose that weekly readings are taken from the same location in a river over a 2-months period. Conduct a statistical test of the research hypothesis that the mean dissolved oxygen content is less than 5.0 parts per million, a level which some scientists think is marginal for supplying enough dissolved oxygen for fish. 5.1, 4.9, 5.6, 4.2, 4.8, 4.5, 5.3, 5.2, 8.