Applying The population of adult women in the United States has a mean height of 65 inches (5'5") and a standard deviation of 3.5 inches. Let X = the height of an American female. Thus, X~ N(65, 3.5). Use the scenario above to determine the selected probabilities below. You may wish to use the Normal Distribution Calculator hosted by the University of lowa's Department of Mathematical Sciences. Remember: the formatting of this calculator may vary slightly from what is used in class. (link: Normal Distribution Calculator) a. What is the probability of randomly selecting a female shorter than 58 inches tall? P(X < 58) = (Include five decimal places.)

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