Tom and Miguel take the bus to go work. Let X be the time that Tom waits for the bus and Y the time that Miguel waits for the bus. They take different buses at different bus stops. The joint density function of X and Y is given below. The times are in minutes. f(x, y) = 15e¬3x-5y_ x > 0, y > 0. The conditional density of X when Y is 5 is Select one: а. exnonential with mean 1/3

there are 3 signaling  devices(alarms) installed to notify about an accindent. the probability that the first signaling device will work in case of an accident is 0.95. the probability that second signaling device will work in case of in accident is 0.95. the probability that that the third signaling device will work in case of accident is 0.92. let X be number of arlarm that will not work in case of accident. find the mass function and draw the histogram

Suppose that the random variable X has density ƒx (x) = 4x³ for 0 4X).

e,f,g

Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). (units: mm Hg/10) (units: mm Hg/10) х 6.7 4.9 4.2 3.3 2.1 42.2 31.7 26.2 16.2 13.9 (a) Verify that Ex = 21.2, Ey = 130.2, Ex? = 101.84, Ey? = 3927.82, Exy = 630.76, and r= 0.982. Ex Ey Ex? Ey2 Exy (b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis,…

Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10)  Σx = 21.8, Σy = 132.2, Σx2 = 108.64, Σy2 = 4062.1, Σxy = 662.8, and r ≈ 0.985.     (b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t   critical t      (e) Find a 90% confidence interval for y when x = 3.3. (Use 1 decimal place.) lower limit   upper limit   (f) Use a 5% level of significance to test the claim that β > 0. (Use 2…

find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

8. Let Y have density function f(u) = Vje u/2 Y <0 y 2 0 Find the value of c that makes f(y) a density function. What are mean and variance of Y?

Find the cumulative distribution function for Y if its density is f(y) = { 2(1 – 1/y²), 1 1.5).

The density function of X is:  f(x) = c·x2 ·( 1 - x ). Calculate the mode of X.