This Question: 14 pts 14 of 24(8 complete) | This Quiz: 250 pts possible The tme

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This Question: 14 pts 14 of 24(8 complete) | This Quiz: 250 pts possible The tme spent (in days) waiting for a heart transplant for people ages 35-49 can be approximiated by the normal distribution, as shown in the figure to the right (a) What waiting time represents the 5th percentile? (b) What waiting time represents the third quartile? 102 202 302 Days Click to view page 2 of the Standard Normal Table (a) The waiting time that represents the 5th percentile is days. Round to the nearest integer as needed) (b) The waiting time that represents the third quartile isdays. (Round to the nearest integer as needed) Enter your answer in each of the answer boxes 9:30 AM @^.ds) E1.12/2' 17 v 0 Type here to search

Explanation / Answer

Solution :- = 202 , = 23.8

a) The waiting time that represents the 5th percentile is 163 days.

=> P(Z < (X - )/) = 0.05
(X - )/ = -1.65
(X - 202)/23.8 = -1.65
X = 202 - 1.65*23.8
X = 162.73
X = 163

b) The waiting time that represents the third quaritle is 218 days.
=> P(Z < (X - )/) = 0.75
(X - )/ = 0.67449
(X - 202)/23.8 = 0.67449
X = 202 + 0.67449*23.8
X = 218.0528
X = 218

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