A standard vapour compression cycle uning R22, which have the following data: > Power developed 50 kW of reftigeration. - Power required for compression 11 kW. > Evaporation pressute 4 bur. > Mass flow rate of refrigerant 0.3 kuls yd Calculate condensing temperature, discharge temperature and coefficient of performance

Using the following data create a log-log plot. What is the slope and resulting y-intercept? Show calculations.

Air enters the compressor of an ideal gas refrigeration cycle at 17°C and 35 kPa and the turbine at 47°C and 160 kPa. The mass flow rate of air through the cycle is 0.3 kg/s. Assume variable specific heats for air.

Determine the net power input.

The net power input is kW.

Air flows through a 0.25-m-diameter duct. At the inlet the velocity is 300 m/s, and the stagnation temperature is 90°C. If the Mach number at the exit is 0.3, determine the direction and the rate of heat transfer. For the same conditions at the inlet, determine the amount of heat that must be transferred to the system if the flow is to be sonic at the exit of the duct.

In a specific population of​ people, cancer is found in 0.8​% of the people. If a person does have the​ disease, a diagnostic procedure will identify the presence of cancer in 93​% of such people. If a person does not have​ cancer, this diagnostic procedure will give a​ false-positive result 0.3% of time. What is the probability that a person with a positive test result has cancer.

A queue with one server without buffer, the probability of a customer’ arrival and departure in a time unit is p and q respectively. Please try to 1) give the one step state transition probability matrix. 2) give the balance equations. 3) calculate the limiting probabilities for p=0.3 and q=0.5. (12 points)

Given a standard normal distribution, find the area under the curve that lies (a) to the right of z=1.25; (b) to the left of z= -0.4; (c) to the left of z= 0.8; (d) between z=0.4 and z=1.3; (e) between z= -0.3 and z= 0.9; and (f) outside z= -1.5 to z= 1.5.

Find the following probabilities

a. P(X = 2) when X ∼ Bin(4,0.6)

b. P(X > 2) when X ∼ Bin(8, 0.5)

c. P(X ≤ 2) when X ∼ Bin(5, 0.5)

d. P(3 ≤ X ≤ 5) when X ∼ Bin(6, 0.3)

Stock A has an expected return of 17% and a standard deviation of 29%. Stock B has an expected return of 14% and a standard deviation of 18%. The risk-free rate is 2.8% and the correlation between Stock A and Stock B is 0.3. Build the optimal risky portfolio of Stock A and Stock B. What is the expected return on this portfolio?

of the three men, the chances that of politician, a businessman, of an academician will be appointed as a vice-chancellor (vc) of a university are 0.5,0.3 and 0.2 respectively. Probability that the research is promoted to become vc of the university politician, businessman, and academician 0.3, 0.7, and 0.8 respectively. a) determine the probability that research is promoted. b) if reserch is promoted, what is the probability that vc is and academician?