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d Do Homework Kyleigh Hosford Google Chrome e Secure l https//www.mathxl.com/Stu

ID: 3181494 • Letter: D

Question

d Do Homework Kyleigh Hosford Google Chrome e Secure l https//www.mathxl.com/Student/PlayerHomework.aspx?homework ld 405191985&questio; Math 1342 Spring 2017 10 40 am Homework: Section 5.3 Score: 0 of 1 pt 4 14 of 16 (5 complete) v 5.3.37 The time spent (in days) waiting for a heart transplant in two states ts 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 Click to view page 1 of the table. Click to view page 2 ofthe (a) what is the shortest time spent waiting for a heartthat would still place a patient inthe top 10% waiting times? days (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer

Explanation / Answer

Solution:

mean = 128
SD = 23.4

P ( 45<X<210 )=P ( 45128< X<210128 )
=P ( 45128/23.4<X/<210128/23.4)
=P ( 3.55<Z<3.5 )=0.9996

a) z- value for top 20% waiting time = +0.9996
shortest time for top 20% waiting = mean + 0.9996*SD
= 128 + 23.4*0.9996
= 151.39 => 151 days