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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?
The condenser in a refrigerator receives R-134a at 700 kPa and 50C, and it exits as saturated liquid at 25 C, The flow rate is 0.1 kg/s,and the condenser has air in at an ambient temperature of 15 C and leaving at 35 C. Find the minimum flow rate ..
A concrete dam retaining water has a specific weight of concrete of 23.5kn/m3, what is the factor of safety against sliding & overturning and pressure intensity on the base if coefficient of friction is 0.45
the unit weight of normal weight reinforced concrete is commonly assumed to be 150 lb/ft cubed. find the weight per lineal foot (lb/ft) for a normal weight reinforced concrete beam that: a. has a rectangular cross section 16 in.
A body slides down a frictionless plane and during the third second after starting from rest if it travels 20.4m. What is the angle of inclination of the plane?
Design a simply supported one-way reinforced concrete floor slab to span 10 ft and carry a service live load of 175 psf and a service dead load of 25 psf. Use fc' = 3000 psi and fy = 60,000 psi. Make the slab thickness to ½-in. increments.
Plot the variation with depth (z) of the at-rest lateral earth pressure behind the wall, and determine the magnitude and location of the at-rest lateral earth force per unit length of wall.
If the amount of heat transfer in the HE unit is 2460 kJ per kg of steam, what is the magnitude of shaft work obtained from the turbine in kW?
The vertical velocity of the box at the time that it hits the surface is v= 5m/s. After impact the camera experiences an acceleration of a = -kx, where k is a constant and x is the compression of the packing material.
The company would like to distribute the songs between the two CDs such that the used space on each CD is about the same. Formulate the problem as an IP, and find the optimal solution.
Axis of the hole is perpendicular to VP. Draw elevation, plan and development of the lateral surfaces of the pyramid.
What relationship between Atterberg limits and cohesion for Shear test
An undisturbed soil sample was collected in a sampling tube of internal diameter 5cm. The length of the extracted sample was 10.2 cm and its mass was 360 g. After oven drying the mass reduced to 326.5 g.
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