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A particularly long traffic light at an intersection is green 20% of the time. A car approaches this intersection once each day. Let X represent the number of days the car encounters a green light. Assume that each day represents an independent trial:
a)Find the probability that the light is green on exactly three days over a ten day period.
b)Find the probability that the light is green on at least three days over a ten day period.
c)Find the expected value of the number of days the car encounters a green light over a ten day period.
d) Find the standard deviation of the number of days the car encounters a green light over a ten day period.
Write the mass balance equation for a completely mixed lake with an impulse input of mass, M, added at time t = 0. Assume the lake is of constant volume, V, with continuous outflow, Q, and a conservative substance.
They completed the installation when the temperature was 20 degrees Celsius. When the temperature rose to 25 degrees Celsius, the rail buckled into an isosceles triangle because they had not left an expansion gap.
In 2003 at Holloman Air Force Base in New Mexico, test engineers set a world record by moving 192 lb payload at 6,453 miles per hour in a rocket sled. The rocket sled track, built in 1954, is 15.44 km in length.
The Pelton wheel is 3.0 m in diameter, and the nozzle exit is 0.2 m in diameter. Determine the maximum power output of the Pelton wheel. Is a Pelton wheel the appropriate turbine type for this application
The 15-Mg tank car A and 25-Mg freight car B travel towards each other with the velocities. If the coefficient of restitution between the bumpers is e=0.6, determine the speed of each car just after the collision.
An airplane flies at a speed of 360 mph at an altitude of 5000 ft. If the boundary layers on the wing surfaces behave as those on a flat plate, estimate the extent of laminar boundary layer flow along the wing in feet.
what are the main points which create necessity of new railway line? explain in detail different types of surveys conducted in railway work.
Determine the mass and specific volume of argon gas in a vessel at 150 kPa and 20°C. The vessel is spherical, with radius 5 m.^5
What is the smallest particle size (density 2.65 g/cm3) that will be removed in a horizontal grit chamber 10 m long and 1.0 m deep if the flow rate is 1000 m3/hr. Assume the temperature of the water is 25°C.
The design of a masonry wall to support vertical compression loading is influenced by the same factors that affect the design of all compression elements. One of these factors is the extent of rotational restraint at the top of the wall.
A lunar module weights 1500 kg on earth where g = 9.75 mps2. On the surface of the moon where g = 1.70 mps2, what will be the force in Newtons required to accelerate the module at 10 mps2?
Water is pumped 9 mi from a reservoir at elevation 100 ft to a second reservoir at elevation 210 ft. The pipeline connecting the reservoirs has a 54-in diameter. It is concrete and has an absolute roughness of 0.003.
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