Variance and the standard deviation
The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the Standard Deviation for this random variable.
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Determine (a) the tractive force exerted by each locomotive at 16 mi/hr, (b) the power required from each locomotive at 16 mi/hr, (c) the power required from each locomotive as the train speed approaches 32 mi/hr,
Refridgerant 410a is initially at 120 F and quality of 30%. It undergoes a constant-pressure process. The final state is at 70 F. Determine the initial specific enthalpy.
The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard deviation of 2.7 lb. Find the mean weight of Mr. Smith's ripe watermelons if only 2% weigh less than 17 lb. (Give your answer correct to one decimal
The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10000 and 20000, respectively.
Calculate the flow energy per pound-mass, enthalpy, and total enthalpy. Two kilograms of ammonia at 200kPa, .755 m^3/kg, and internal energy of 1405.6 kJ/kg.
Determine (a) the pump work, wk, per kilogram of steam (b) the average density of steam, assuming that the pump is reversible in nature.
Determine the magnitude of the particle's displacement from t=0 to t=3s. Use Simpson's rule with n=100 to evaluate the integrals. What is the magnitude of the particle's acceleration when t= 2s?
Draw a schematic of the system. Using electric resistance heaters, determine (b) the required power (kW) needed to raise the water temperature and (c) the entropy generation rate (kW/K).
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