Continuous uniform distribution on the interval
Let X be a random variable with a continuous uniform distribution on the interval (1,a) where a>1. If E(X)=6Var(X), find a.
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Coal reserves in the united states are estimated to contain 4.00 x 10^16 moles of carbon. if the efficiency is 40%, how much gross energy can this reserve produce through the traditional process of burning powdered coal to produce heat?
The wire in a house circuit is rated at 22.8A and has a resistance of .24ohms. What is its power rating in W? and how much heat does the wire give off in 19.3 min in J?
The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 5.98 ounces and a standard deviation of 0.23 ounce.
A steam turbine receives steam at 110 ft/s velocity and 1525 Btu/Ibm enthalpy. The steam leaves at 810 ft/s and 1300 Btu/Ibm enthalpy. What is the work out in Btu per pound mass flowing?
An 11W energy-efficient florescent lamp is designed to produce the same illumination as a conventional 80W lamp. How much does this energy-efficient lamp save during 89h of use? Assume a cost of $0.8 kW-h for electrical energy.
How many grams of ethylene glycol, C2H4(OH)2, must be dissolved in 2000.0grams of water to lower the preezing point to -29.75 deg C? If the density of ethylene glycol is 1.12 g/mL, how many milliliters of ethylene glycol are required?
First a neutron is removed from the uranium-238 nucleus, then an alpha particle from the resulting product nucleus. Calculate the total energy in MeV required for both processes.
How many moles of air must escape from a 10m x 8.0m x 5.0m room when the temperature is raised from 0c to 20c? Assume the pressure remains unchanged at one atmosphere while the room is heated.
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