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A community has three major sources of power supply: electricity, gas and oil. Let E, G and O denote events of shortages of each of these power sources, respectively. Their probabilities are estimated to be 0.15, 0.10 and 0.20 respectively. Furthermore, assume that if there is a shortage in the oil supply, the probability of an electrical power shortage will be doubled, that is twice the probability of P(E). The shortage of gas may be assumed to be independent of shortages of oil and electricity.
a. What is the probability that there will be a shortage of all three major sources of power supply?
b. If there is a shortage of electricity, what is the probability that gas and oil also will be short?
Determine the minimum distance from the diversion that a road sign should be located informing drivers of the temporary change on the highway. The letter height on the road sign is 5 inches.
A proposal has been submitted to replace a group of assembly workers, each working individually, with an assembly line. The following table gives the individual work elements. The demand rate for this job is 1600 units/week (assume 40h/week)
Calculate the IEEE double precision floating number immediately greater than the minimum number in double precision in both binary and decimal form
A rod of steel is 20 m long at a temperature of 200C. find the free expansion of the rod when the temperature is raised to 65 0 C. Find the temperature stress produced
The gate is rectangular with a horizontal width of 2m perpendicular to the paper. For a depth h = 3m of water, calculate the required force exerted by the hydraulic cylinder to keep the gate just closed.
A dam project specifies 97% compaction. Lab tests on the soil being used indicate that it has a maximum dry density of 1900 kg/m 3 at an optimum water content of 13.2%.
calculate the ratio of the area to volume for unit cube,a unit sphare inscribed inside the cube,and as right cylinder inscribed inside the cube.
The outer surface of the tank is cooled by air at 300 K with a heat transfer coefficient of 100 W/m2K. Determine the maximum temperature in the tank. Take the thermal conductivity of the wastes as 2.0 W/mK.
The hypothetical velocity distribution in a horizontal, rectangular open channel is V=0.3y (m/s), where V is the velocity at a distance y (m) from the bottom of the channel. If the vertical depth of flow is 2 m and the width of the channel is 4 m,..
If the overall gear reduction ratio is 8 to 1, what is the maximum acceleration from rest (in ft/sec^2) for: a) the car with the base engine? b) car with the modified engine? Assume the car is on good dry pavement.
Assuming that silt is equivalent to a liquid having a density of 1760 kg/m3, determine the overturning moment of silt and water about point A.
The two shafts in a speed-reducer unit are subjected to couples of magnitude M1 = 18 N · m and M2 = 7.5 N · m, respectively.
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