A student's grade in a certain course is modeled by the joint PDF below; where X is the grade of the lecture component, and Y is the grade of the lab component. 6 0
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- Evaluate the Beta function, B(2, 3).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…ll T-Mobile LTE 11:30 PM 85% Done 3 of 10 RXM M FOU Oe FI O as O TO F O F GGa an a sludert.desmos.com/activitybuilder/student/G07od3afe7ce2849451468b54soreenldx-3 E Apos a CnCcurs Cener. a CnCcursa Clara Destiny she.. O Emeloyment Conte Login Sersion Eepiration. Update : b Seling AsscER E Synin P view Portrait Prce. view Portait Preo. 6 N.rsng Tradlion. = Unit 4, Lesson Destiry Ofrenbu 8: Not Always Ideal 3 of 15 Next > What is Reasonable? What is the probability that you will flip heads when flipping a coin? Estimate the number of heads you will get when you flp a coin 20 times. Share with Class Share with Class %23 2 3 4 7 9 delete Q R T. Y U tab A F G H. J K. aps lock return X C B N M control option command command option !!
- TF.8The following table gives data for the velocity of a sports car accelerating from 0 to 193 miles per hour over the course of 36 seconds (10 thousandths of an hour).The time to first failure X of the software of a medical linear acceleratormay be modeled normal with μ = 1100 hours and σ = 50 hours.
- Consider an economy where each worker is employed in either agriculture or services. Assume that log earnings of a worker are wo = 4o + €o if she is employed in agriculture and wi = µ1+€1 if she is employed in services, where µo and H1 are constants, ɛo ~ N(0, o3), and e1 - N(0, o?). Assume also that the correlation between earnings in the two sectors is p = g01 where oo1 = Cov(Eo, E1). Workers can be employed in agriculture at no cost, but they incur a cost C = T exp(wo) if they choose to work in services. Finally, assume that workers maximize their net earnings. Each worker knows all the parameters relevant to her decision. (a) Derive a linear approximation of the equation that determines whether an individual chooses services or agriculture. Assume that C is small compared to exp(wo), so you can ignore the error involved in this approximation. (b) Define v = €1 chosen worker is employed in services as a function of z, where z = (Ho – H1 +7)/0,. (c) How does this probability change…1. Let X be an RV with PDF a. Find the mean of X. b. Find the variance of X. f(x) = {¹ -=| - |x| for x < 1 otherwiseOcean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…
- For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers. x 1|2| 4 | 5|5 y 3 5 1 1 2 Exy - (Ex)(E) in b. Use the computing formula r= E-(Ex)*/n] E-(Ex)° /n] Find the sums required to calculate r using the computing formula. Ex-D Σ- (Type integers or decimals. Do not round.) Using the computing formula, r= (Round to three decimal places as needed.) V the value in part (b). The value in part (a) is ?find subparts of questionFind the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places.) Mean Standard deviation a. U(2, 12) 7 b. U(100, 250) 175 c. U(2, 99) 50.5 know I need the standard deviation when I try to calculate it and enter my answer it says its wrong, need help