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1.Let X be a random variable having density function f(x) = CX 0 <= x <= 2 0 otherwise (a) find the value of constant C (b) find P( 1/2 < x < 3/2) (c) find P( x > 1) (d) find the distribution function.
2.Let X be a random variable giving the number of aces in a random draw of 4 cards from an ordinary deck of 52 cards. construct a table showing the probability distribution of X.
3.Three reservoirs are connected by three pipes as shown in Figure 1 with hA = 100 ft, hB = 20 ft, hC = 0 ft, l1 = 1000 ft, l2 = 500 ft, l3 = 400 ft and D1 = D2 = D3 = 1 ft. Determine flow rate into or out of each reservoir if friction in each pipe is 0.02. Neglect minor losses.
Design the roof slab as a one-way slab system and use the worst case design scenario to determine the reinforcing for the entire roof
Knowing that at t= 3s slider block C has moved 57 mm to the right, Determine the velocity of slider block C at t=0, (b) the acceleration of A and C, (c) the change in position of block A after 5s.
Determine the purchasing power 3 years from now of an investment of $20,000 today. The investment is earning a market interest rate of 8%, and the inflation rate is 3%.
the level of water in a city water tower is 125ft. above the ground. The tank is kept with an air space which can be pressurized with compressed air. It is important to maintain a pressure at the bottom of the tower at 75 psig.
the velocity of a particle is given by the relation v=100-10x, where v is expressed in meters per second and x in meters. Knowing that x=0 at t=0, determine (a) the distance traveled before the particle comes to rest
An aluminum alloy rod has a circular cross section with a diameter of 8 millimeters. This rod is subjected to a tensile load of 4 kN. Assume E=69 GPa. What will be the lateral strain if Poisson's ratio is 0.33
An unconfined, gravel-sand aquifer has a porosity of 0.23, and a hydraulic conductivity of 1000 m/day. Two monitoring wells are 260 m apart, and the difference in their water levels is 0.3 m.
A plate of aluminum is exposed to an atmosphere of Copper hydride,and on the other side of the plate, an atmospere that is deficientin copper hydride. If a steady state condition is achieved
A mass of 200g of saturated liquid water is completely vaporized at a constant pressure of 100KPa. Determine a) the volume change b) the amount of energy added to the water
Suppose that the distance from the lake outlet to the withdrawal cannot be more than 20 mi. What should be the new volume of the lake?
A wastewater treatment plant has two rectangular primary settling tanks, each 40 ft long, 12 ft wide, and 7 ft deep. The effulent weir length in each tank is 45 ft. The average daily wastewater flow is 387,000 gal.
After injecting 50 MMSCF (14.7 psia and 60 oF), the pressure increase from 2500 to 3500 psia. Deviation factors for the gas are 0.90 at 3500 and 0.80 at 2500 psia and the bottom-hole temperature is 160 oF. What is the cubic feet of gas storage spa..
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