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A construction firm purchased 3 tractors from a certain company. At the end of the fifth year, let E1, E2, E3 denote, respectively, the events that tractors no. 1, 2, and 3 are still in good operational condition.
Past experience indicates that the chance of a given tractor manufactured by this company having a useful life longer than 5 years (i.e., in good condition at the end of the 5th year) is 60%. If one tractor needs to be replaced (not in good operational condition) at the end of the 5th year, the probability of replacement for one of the other two tractors is 60%; if two tractors need to be replaced, the probability of replacement of the remaining one is 80%.
a. What is the probability that only tractor no. 1 is in good condition?
b. What is the probability that exactly one tractor is in good condition?
c. What is the probability that at least one tractor is in good condition?
A constant head permability test is performed on a soil that is 2 cm X 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm^3 is collected over a time of 100 sec.
A moist soil sample weighing 22.2 N has a moisture content of 20%. How man N of water must be added to the sample to increase the moisture content to 30%
A lab experiment of permeability test was carried out on a cylindrical sample of sand 3 inch in diameter and 4 inch in height. 9 in3 of water was collected in 2 minutes, under a head (water level difference) of 11 inch. Compute the permeability in..
Compute the maximum acceptable service load on an A36 steel plate tension member 1/4in.x12in. having a single line of holes parallel to the direction of loading. The load is 25% dead load and 75% live load, and 7/8in. diameter bolts are used.
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A 3.60-g lead bullet at 28.0 degrees C is fired at a speed of 230 m/s into a large block of ice at 0 degrees C, in which it embeds itself. What quantity of ice melts?
Determine the volume of direct surface runoff in acre-ft that will result from the following storm. The basin area is 1000 acres. The phi index is 0.5 in./hr. 30-minute period 1 2 3 4 Rain intensity (in./hr) 0.9 0.5 0.6 0.5
an electrical-generation utility sometimes pump liquid water into an elevated reservoir during periods of low electrical consumption. this water is used to generate electricity during periods when the demand for electricity exceeds the utilities a..
Your family cabin now has a roof that is rectangular, 60 feet by 20 feet, and is covered by 2 inch thick hardwood siding and tapped wood shingles. You propose adding 2 inches of cellulose fiber insulation under the hardwood.
A variable-order reaction A-->B has the following rate expression: R(a) = -kC(a)/(K+C(a)) where k = 5mg/L-hr and K=40mg/L The reaction is to take place in a batch reactor. The initial concentration is 450 mg/L
The velocity distribution for water (20 C) near a wall is given by u=a(y/b)^1/6 where a=10m/s, b=2mm, and y is the distance from the wall in mm. Determine the shear stress in the water at y=1mm. [viscosity of water at 20 C = 1.81 x 10^-5]
A four- lane undivided multilane highway ( two lanes in each direction) has 11- ft lanes and 5- ft shoulders. At one point along the highway there is a 4% upgrade that is 0.62 mi long.
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