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If an item of mail cannot be delivered it is returned to the local depot and a card sent to the addressee inviting them to come to the depot to collect it. At the depot the one postal worker deals with customers arriving according to a Poisson distribution with a mean of ten per hour. Service times are exponentially distributed with a mean of 4 minutes.
(a) What is the probability that the postal worker will be idle?
(b) What is the probability that there are more than two customers in the queue?
(c) What is the mean length of the queue?
(d) What is the mean waiting time in the queue?
What is the drawdown at the perimeter of the well pumping 225 gpm when both wells are operating?
Calculate the ratio of the network over the amount of heat absorbed at the high temperature of the cycle. How does this value compare to the theoretical efficiency of the Carnot cycle that is calculated based on the two operating temperatures?
Calculate the tower height, Z, and tower diameter, D, needed so that the Z/D ratio is about 4 and at this optimum condition, what are the values of f, Tez, and air flow rate, G?
Propane is isothermally compressed from 0.01 bar, -51.4 °C to 17 bar. The process takes place reversibly in a closed system. Draw the PV graph of the process.
The diagrams above show four Bode plots of uncompensated and compensated performance for a particular control system. Which diagram shows the effects of adding phase-lag compensation?
Where 'k1' and 'k2' are rate constants,tR,maxis the time at which the maximum concentration of 'R' is obtain and CR,maxis themaximum concentration of 'R'
Suppose that instead of cutting the sphere as in Figure 7.35a, the connections are made as in Figure 7.35b. Show that the resistance of the sphere cannot be calculated exactly and comment on the physical meaning of this result.
Steam enters a cooling tower at 200 °C and exits at 60 °C. Cooling is supplied by the surroundings which are assumed to be at 30 °C. The process takes place under atmospheric pressure (1 bar).
Determine the motor current and speed when the diverter-circuit resistance is made equal to the series-field resistance. Neglect saturation and the voltage drops across the series- field resistance as well as the armature resistance.
Write a method in the HashIntSet class called addAll that accepts another hash set as a parameter and adds all of the elements from the other set into the current set. For example, if the set stores [-5, 1, 2, 3] and the method is passed [2, 3, 6,..
Consider a diatomic gas, N2, at 298 K. This gas is compressed reversibly and adiabatically from 15 dm3 to 5.0 dm3. Assume that the heat capacity of this gas is CV=5R/2, and that it behaves ideally. Calculate the final temperature, T2, of the gas.
It is required to produce an aqueous LiCl solution by mixing LiC1.2H20(s) with water. The mixing occurs both adiabatically and without change in temperature at 298.15 K (25°C). Determine the mole fraction of LiCl in the final solution
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