The amount of natural gas that Taylor Exploration extracts daily at its Cane Creek site in Utah has a normal distribution, with an average of 82,300 cubic feet and a standard deviation of 12,400 cubic feet.On a randomly selected day, how likely is it that between 88,000 and 104,000 cubic feet are extracted?
A).2827
B).3354
C).2145
D).1837
E).2462

Question

Quizplus · Accepted Answer

The z-score for 88,000 is (88,000 - 82,300) / 12,400 = 0.46. The z-score for 104,000 is (104,000 - 82,300) / 12,400 = 1.77. The area under the normal curve between these two z-scores is 0.2827.

The Amount of Natural Gas That Taylor Exploration Extracts Daily