Quiz_10_Solutions

Quiz_10_Solutions - Quiz 10 Name In November the amount of...

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Quiz 10 Name: ______________________________ November 20, 2009 In November, the amount of precipitation in West Lafayette follows a normal distribution with a mean of 3 inches and a standard deviation of .8 inches. a. What is the probability that the amount of precipitation in November is less than 3.5 inches? < . = < . - . = . = . PX 3 5 PZ 3 5 3 8 Φ 625 7357 b. Given that we have already gotten 2.5 inches of precipitation so far this month, what is the probability we will get more than 4 inches? > > , = ( > ) ( > . )= - < - . - < . - . = - ( . ) - PX 4X 2 5 P X 4 P X 2 5 1 PZ 4 3 81 PZ 2 5 3 8 1 Φ 1 25 1 (-. )=. . = . Φ 63 1056 7357 144 c. A month will be classified as “extremely wet” if the amount of precipitation is in the upper 12% for that month. How much precipitation must fall in November for it to be classified as “extremely wet”? > = . PX x 0 12 < = . PX x 88 = + . *. = . x 3 1 175 8 3 94 inches
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Quiz 10 Name: ______________________________ November 20, 2009 The hourly wages of a Stat 225 TA are normally distributed with a mean of 20 dollars an hour and a standard deviation of 3 dollars. Each TA’s wages are independent of any other TA.
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