he time spent (in days) waiting for a heart transplant for people ages 35-49 can

Question

he time 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? 205 305 105 Days mu equals 205sigma equals 26.4 x A normal curve labeled mu = 205 and sigma = 26.4 is over a horizontal x-axis labeled "Days" from 105 to 305 in increments of 50 and is centered on 205. Click to view page 1 of the Standard Normal Table. LOADING... Click to view page 2 of the Standard Normal Table. LOADING... (a) The waiting time that represents the 5th percentile is nothing days. (Round to the nearest integer as needed.) (b) The waiting time that represents the third quartile is nothing days. (Round to the nearest integer as needed.)

Explanation / Answer

here as it is distributed normally.

a) for 5th percentile ;critical value of z =-1.6449

threfore corresponding value =mean +z*std deviation =205 -1.6449*26.4 =~ 162

b)

for 3rd quartile 'critical value of z =0.6745

threfore corresponding value =mean +z*std deviation =205 +0.6745*26.4 =~ 223

( please revert for any clarification required)

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