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The time spent (in days) waiting for a kidney transplant for people ages 35-49 c

ID: 3203929 • Letter: T

Question

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.

(b) What waiting time represents the first quartile?

mu equals 1679=1679

sigma equals 210.2=210.2

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 th 98th
percentile?

(b) What waiting time represents the first quartile?

167917791579Days

mu equals 1679=1679

sigma equals 210.2=210.2

x

Explanation / Answer

a) 98th percentile = + 0.675*

= 1679 + 2.0537 * 210.2, where Z score = 2.0537 at P98 from Z table

= 2110.688

b) First quartile = - 0.675*, where Z score = 0.675 at P25 from Z table

= 1679 - 0.675 * 210.2

= 1537.115

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