Solutions - 5180-04

(a)

(1) Write and substitute into the probability:

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(2) Express in terms of and evaluate:

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(b)

(1) Interpret problem:

Since we wish to find the top , we wish to find such that .

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(2) Use lookup table to find :

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(3) Solve for using :

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(c)

(1) Interpret problem:

Since we wish to find the 25th percentile, we wish to find such that .

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(2) Use lookup table to find :

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(3) Solve for using :