Eight tails occuring
If a coin is flipped 25 times with eight tails occuring, what is the probability that no run of six (or more) consecutive heads occur? (Solve using generating funciton)
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An air-tight room is filled with air. The room is divided into two sections by a barrier. One side of the room has a volume of 1000 ft3, a temperature of 70°F, and a pressure of 1 atm.
Steam entering a nozzle has an enthalpy of 3200 kJ/kg and its intial velocity is 75 m/s. The exit stream has an enthalpy of 2000 kJ/kg. What is the exit velocity and the exit kinetic energy of the stream?
Let Q be a random variable which is uniformly distributed between 0 and 1. On any given day, a particular machine is functional with probability Q. Furthermore, given the value of Q, the status of the machine on diifferent days is independent.
A 4-m-long string, fixed at both ends, has a mass of 8 g. If you want to set up a standing wave in this string having a frequency of 280 Hz and three antinodes, what tension should you put the string under?
If we wish to obtain a vapor product with at least 75 mol% meethanol and want to have 30% of the feed vaporized [V/F=0.3], determine the required feed composition.
In a particular nuclear power plant the reactor is used to heat water to a saturated vapor at 700 psi , this vapor is then fed to another heat exchanger (superheater) that burns coal where it is superheated to 1100F.
The water at the constant pressure of 1 bar is incompressible, determine the amount of entropy produced, in kJ/°C, for the water as the system.
A closed rigid vessel conatains 3% liguid water and 97% water vapor by volume. The mixture is in equilbrium at 100o C. What is the quality of the mixture?
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