38) .l lOp 9:0£Q1:BB. Let X and Y have a bivariate normal distribution with parameters ly = 3, , = 1,0 = 16, o, = 25,and p = Suppose that P(c, < X < czlY = -4) = 0.95.1. *1.The value of E (x]y) is equal to 5.4TrueFalse2. *2. The value of Var(x|y) is equal to 10.24TrueFalse3.3. The values of c, and cz are equal to 3.77 and 7.97 respectively.TrueoxO OO O

here x and y is bivariate random normal variable so condition distribution also follows the normal…

Answered: B. Let X and Y have a bivariate normal…

A First Course in Probability (10th Edition)

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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 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 ? = 7.80 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 = 2.90 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) ________ male firefighters
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The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630
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 44 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. (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.) the distribution of volumes is normal ? is known the distribution of volumes is uniform n is large ? is unknown c) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.80 for the mean plasma…
Q2: Let X and Y have a bivariate normal distribution with parameters 4, = 2 = 1, of = 16, af = 25 and p = 3. The value of P(-3

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B. Let X and Y have a bivariate normal distribution with parameters = 3, ty = 1,0 = 16, o = 25, and p = Suppose that P(c, < X < czlY = -4) = 0.95. %3D %3! %3D !!