SITUATION 8 (a) The elongation of a steel bar under a particular load has been established to be normally distributed with mean of 0.05 inch and standard deviation of 0.01 inch. (a.1) Find the...

Extracted text: SITUATION 8 (a) The elongation of a steel bar under a particular load has been established to be normally distributed with mean of 0.05 inch and standard deviation of 0.01 inch. (a.1) Find the probability that the elongation of a steel bar is below 0.15 inch. (a.2) Find the probability that the elongation of a steel bar is between 0.025 and 0.050 inch. (b) In a certain city, the daily consumption of water (in million liters) approximately follows a gamma distribution with parameters a = 1.5 and B = 3. If the daily capacity of the city is 8 million liters, what is the probability that on any given day, the water supply is inadequate?