Calculate the probability of an event in the prescribed experiment using the classical approach (theoretical for equally likely outcomes) and verify the result by frequency approach (Monte Carlo simulation). In addition, we will perform the same approaches for computing an event of conditional probability. Experiment description: Suppose there are two boxes; in box 1 there are 3 times more green balls than red balls, and in box 2 there are 5 red balls and 8 green ones. We choose one of the boxes at random (that is P(B1) = P(B2) = 0.5), and then 3 balls are randomly taken from that box with replacement. Notice that the actual number of colored balls in box 1 is not given, which causes no problem since the drawings are done with replacement.

Amass of m 1.5 kg of steam is contained in a closed rigid container. initially the pressure and temperature of the steam are: p 1.5 mpa and t 240°c (superheated state), respectively. then the temperature drops to t2= 100°c as the result of heat transfer to the surroundings. determine: a) quality of the steam at the end of the process, b) heat transfer with the surroundings. for: p1.5 mpa and t 240°c: enthalpy of superheated vapour is 2900 kj/kg, specific volume of superheated vapour is 0. 1483 m/kg, while for t 100°c: enthalpy of saturated liquid water is 419kj/kg, specific volume of saturated liquid water is 0.001043m/kg, enthalpy of saturated vapour is 2676 kj/kg, specific volume of saturated vapour is 1.672 m/kg and pressure is 0.1 mpa.

Give heat transfer applications for the following, (i) gas turbines (propulsion) ) gas turbines (power generation). (iii) steam turbines. (iv) combined heat and power (chp). (v) automotive engines

Thermal stresses are developed in a metal when its a) initial temperature is changed b) final temperature is changed c) density is changed d) thermal deformation is prevented e) expansion is prevented f) contraction is prevented