The time spent (n days) waiting for a heart transplant in two states for patient

Question

The time spent (n days) waiting for a heart transplant in two states for patients with type A. blood can be approximated by a normal distribution, a as shown in the graph to the right. Complete parts (a) and (b) below. Click to view page 1ofthe table Click to view page 2 of the table. (a) What is the shortest time spent waiting for a heart that would still place a patient in the top 20% of waiting times? days (Round to two decimal places as needed) (b) What is the longest time spent waiting for a heart that would still place a patient in the bottom 20% of waiting tmes? days (Round to two decimal places as needed.)

Explanation / Answer

a) z value at 20% = 0.8416

mu = 122 , s = 20.3

x bar = mean + z * s

= 122 + 0.8416 * 20.3

=139.08 = 139

b)

z value at 20% = -0.8416

mu = 122 , s = 20.3

x bar = mean + z * s

= 122 - 0.8416 * 20.3

=104.91 = 105

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