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In: Statistics and Probability

Suppose that an airline uses a seat width of 16.9 in. Assume men have hip breadths...

Suppose that an airline uses a seat width of 16.9 in. Assume men have hip breadths that are normally distributed with a mean of 14.9 in. and a standard deviation of 1.1 in. Complete parts​ (a) through​ (c) below.

​(a) Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.9 in.

The probability is______?

​(Round to four decimal places as​ needed.)

​(b) If a plane is filled with 127 randomly selected​ men, find the probability that these men have a mean hip breadth greater than 16.9 in.

The probability is_____?

​(Round to four decimal places as​ needed.)

​(c) Which result should be considered for any changes in seat​ design: the result from part​ (a) or part​ (b)?

The result from (PART A/ PART B) should be considered because, (THE SEATS ARE OCCUPIED BY INDIVIDUALS RATHER THAN MEANS/ or/ ONLY THE AVERAGE INDIVIDUALS SHOULD BE CONSIDERED.)

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