Compute the cdf and the density of y
Suppose that X has density fX(x) given below. fX(x) = x/2 if 0 < x < 2, 0 otherwise. Let Y = 1/(4X + 2) . (a) Compute the cdf and the density of Y . (Remember to be very explicit about all cases!) Plot them. (b) Compute the variance of Y and of Y2
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Let X1 and X2 be independent random variables, each having a (continuous) uniform distribution over (0; 1). Let the random variable M be de ned as M = max(X1;X2)
Steam enters a nozzle at 400C and 800kpa with a velocity of 10m/s, and leaves at 300C and 200kPa while losing heat at a rate of 25kW, for an inlet area of 800cm^2.
Two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. Transferring 1.20 * 10^9 electrons from one disk to the other causes the electric field strength to be 2.90 * 10^5 N/C. What are the diameters of the disks?
Determine the conditional probability that the second light will be red given that the first light is red. (Show how you calculate this.) Are the events R1 and R2 independent? Justify your answer numerically.
Suppose that X has density fX(x) given below. fX(x) = x/2 if 0 < x < 2, 0 otherwise. Let Y = 1/(4X + 2) . (a) Compute the cdf and the density of Y . (Remember to be very explicit about all cases!) Plot them. (b) Compute the variance of Y and
Use graphical analysis to determine the resistivity ρ of the wire (Use a graph of voltage V versus length L). The wire has cylindrical shape and a diameter of 0.9 mm.
Gasoline has been delivered to a farmer for use in the farm'scombines. A cylindrical storage tank with a circumference of6.8 ft is used to store the gasoline untilit is used.
Determine if it is safe for a 225 lb worker to stand all the way to the right of the scissor jack with it fully extended.
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