An instructor at the U.S. Navy’s underwater demolition school believes he has developed a new technique for staying under water longer. The school commandant gives him permission to try his technique with a student who has been randomly selected from the current class. As part of their qualifying exam, all students are tested to see how long they can stay under water without an air tank. Past records show that the scores are normally distributed with a mean μ =130 seconds and a standard deviation σ = 14 seconds. If the new technique has no additional effect, what is the probability that the randomly selected student will stay under water for
a. More than 150 seconds?
b. Between 115 and 135 seconds?
c. Less than 90 seconds?
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