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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 distance of 200 ft must be taped in a manner to ensure a standard deviation smaller than ± 0.03 ft. What must be the standard deviation per 100 ft tape length to achieve the desired precision?
Often times, this pressure comes from the fact that community's water supply is stored in an elevated reservoir. Determine how high an elevated reservoir must be so that the water supply has a pressure of 50 psi. Given: the unit weight of water is..
A laboratory consolidation test was performed on a clayey soil specimen, which was drained on both top and bottom. The time for 50% consolidation was 6.2 minutes, and the specimen's thickness at 50% consolidation was 0.740 in.
After a few drinks under exactly the same conditions, the driver fails to stop in time and strikes the object at a speed of 35 mi/hr. Determine the driver's perception/reaction time before and after drinking.
Consider your cooking gas contains 80% propane and 20% butane. While burning on a cooktop, assume it burns with 200% excess air. If no heat is lost, determine the maximum possible flame temperature.
the 100 kg crate is originally at rest on the smooth horizontal surface. If a 200 newton force, acting at an angle of 45 degrees, is applied to the crate for 10 seconds. Determine the final velocity of the crate.
If log KSO, calcite (CaCO3(s)) = -8.61 at 50 oC, would calcite be over- or under- saturated in a hot water heater at 50 oC if the water was in equilibrium with calcite at 25 oC (log KSO = -8.30) when it entered the house
water flows from a lake as is shown in fig. p8.40 at a rate of 4.0 cfs. is the device inside the building a pump or a turbine? Explain and determine the horsepower of the device. neglect all minor losses and assume the friction factor is .025
The oven exhaust gases are available at 250 F. Assume that the design temperature and residence time have been established as 1300 F and 0.6 sec, respectively. The type of burner used in the process requires outside air at a moass ratio of 12:1
Air enters an electrical furnace at 20oC, 100 kPa, with a volumetric flow rate of 30 m3/min. The furnace delivers air at 40oC to a duct system with three branches consisting of two 15-cm-diameter ducts and a 30-cm-diameter duct.
A stream is in equilibrium with atmospheric oxygen upstream of a waste outfall. The waste outfall creates a BODo of 20 mg/L in the stream. The k(BOD) is 0.4 /day and the k(o2) is 1.4 / day. The stream temperature is 15 degrees Celsius.
A traffic signal control is being designed for a four-leg intersection on a divided highway with the characteristics shown in the table below. Determine an appropriate length of the yellow interval for each approach and how you will provide it.
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