In a simulation exercise, regression model (1.1) applies with f30 = 100, f31 = 20, and a 2 = 25. An observation on Y will be made for X = 5. a. Can you state the exact probability that Y will fall between 195 and 205? Explain. b. If the normal error regression model (1.24) is applicable, can you now state the exact prob- Ii. ability that Y will fall between 195 and 205? If so, state it.

The temperature of air decreases as it is compressed by an adiabatic compressor. a)- true b)- false

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature

Water at the rate of 1 kg/s is forced through a tube with a 2.5 cm inner diameter. the inlet water temperature is 15°c, and the outlet water temperature is 50°c. the tube wall temperature is 14°c higher than the local water temperature all along the length of the tube. what is the length of the tube?