The following table contains data from a study of two airlines which fly to Smal

Question

The following table contains data from a study of two airlines which fly to Small Town, USA. If a flight is selected at random, find the probability that the flight is on Upstate Airlines given the flight is late. Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes more than $36,000. Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The U.S. Army requires that the heights of women be between 58 and 80 inches. If 200 women want to enlist in the U.S. Army, how many would you expect to meet the height requirements?

Explanation / Answer

20.

Let

L = late
U = upstate airline

Hence,

P(U|L) = n(U n L)/n(L)

Hence, from the table,

P(U|L)= 5/(5+6) = 5/11 or 0.454545455 [ANSWER]

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