Question

The time spent​ (in days) waiting for a kidney transplant for people ages​ 35-49 can be...

The time spent​ (in days) waiting for a kidney 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

8080th

​percentile?

​(b) What waiting time represents the first​ quartile?

169017901590Days

mu equals 1690μ=1690

sigma equals 210.7σ=210.7

x x y graph

Click to view page 1 of the Standard Normal Table.

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Click to view page 2 of the Standard Normal Table.

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​(a) The waiting time that represents the

8080th

percentile is

nothing

days.

​(Round to the nearest integer as​ needed.)

​(b) The waiting time that represents the first quartile is

nothing

days.

​(Round to the nearest integer as​ needed.)

0 0
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Answer #1

Pth percentile = Mean + Z * Standard deviation , Where Z is critical value

a)

80th percentile = 1690 + 0.8416 * 210.7

= 1867

b)

First quartile = 25th percentile

= 1690 + (-0.6745) * 210.7

= 1548

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