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Do Homework- Jessica Rodriguez- Google Chrome Secure ! https://www.mathxl.com/Stu rHomework.aspx?homewörkld-4748750328iquestionld-5&flushed-falseictd-4939242;&centerv; Math 227 Online, Spring 2018 Mkrtchyan Jessica Rodriguez& 3/21/18 9: Homework: Section 7.2 Homework (Value of a N random var. Score: 0 of 1 pt 5 of 8 (5 complete) HW Score: 36.36%, 4 t 7.2.35 Question Hel Assume the random variable X is normally distributed with mean =50 and standard deviation =7. Find the 87th percentile Click the icon to view a table of areas under the normal curve. The 87th percentile is Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All Check Answer All parts showing ere to search

Explanation / Answer

Given :-

The random variable X is normally distributed with mean

= 50 and standard deviation = 7.

Using a standard normal table, the Z value that corresponds to an area of 87% = 0.87 is 1.13 or z = 1.13

With z of 1.13 the corresponding x value is

z = ( x - µ ) /

x = z* + µ

x = ( 1.13 * 7 ) + 50

x = 57.91

The 87th pecentile is 57.91.

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