The lime spent (in days) waiting for a heart transplant in two states for patien

Question

The lime spent (in days) waiting for a heart transplant in two states for patients with type A blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below 19.3 Click to view page 1 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 1% of waiting times? Enter your answer in each of the answer boxes.

Explanation / Answer

a) for top 20% of waiting time ; 80th percentiel z score =0.8416

hence corresponding score =mean+z*Std deviation =130+0.8416*19.3 =146.24

b) for bottom 10% ; z score =-1.2816

hence corresponding score =mean+z*Std deviation =130+1.2816*19.3 =105.27

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