The discrete probability function for the countably infinite sample space S = {1, 2, 3, …} is: ; x = 1, 2, 3, …… a- Find the constant "C" so that P(x) is valid discrete probability function. B- Find the probability that the outcome of the experiment is a number less than 4.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

Aquick transition of the operating speed of a shaft from its critical speed will whirl amplitude. (a) increase (b) limit (c) not affect (d) zero

The proportional limit is always greater than the yield strength for a material. a)-trune b)- false