Suppose you are going fishing.
One type of fish is well caught at atmospheric pressure from 740 to 760 mm Hg.
Fish of the second species is well caught at a pressure of 750 to 770 mm Hg.

Calculate the probability that the fishing will be successful if the atmospheric pressure is Gaussian distributed with a mean of 760 mm and a mean deviation of 15 mm.

You have to:

1. Calculate the probability that pressure is in the [740, 760] range.
2. Calculate the probability that pressure is in the [750, 770] range.
3. As our events intersect, we must use the inclusive-exclusive principle. Calculate the probability that pressure falls into the intersection of corresponding intervals.