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.

Apiping systems consists of 6 m of 6-std type k and 12 m of 4-std type k, both drawn copper tubing. the system conveys ethylene glycol at a rate of 0.013 m3/s. the pressure drop across the system is to be calculated. there are two 90° elbows in the 6-in pipe, a reduction from the 6-in pipe to the 4-in pipe and four 90° elbows in the 4-in pipe. all fittings are soldered (same as flanged) and regular. the inlet and outlet of the system are at the same height.