Question 312128
a) Find the z score for 60000 and 69000
{{{z(60000)=(60000-60000)/6000=0}}}
{{{z(69000)=(69000-60000)/6000=1.5}}}
{{{P(0)=0.50000}}}
{{{P(1.5)=0.93319}}}
P(60K< x <69K)=P(1.5)-P(0)=0.93319-0.5={{{highlight_green(0.43319)}}}
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b) Find the z score for 55000 
{{{z(51000)=(51000-60000)/6000=-1.5}}}
{{{z(66000)=(66000-60000)/6000=1}}}
{{{P(-1.5)=0.066807}}}
{{{P(1)=0.841345}}}
P(51K< x < 66K)=0.841345-0.066807={{{highlight_green(0.774538)}}}
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c) Find the z score for 55000
{{{z(55000)=(55000-60000)/6000=-0.833}}}
{{{P(-0.8333)=0.202328}}}
P(x <55K)={{{highlight_green(0.202328)}}}
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d) Find the z score for 72000 
{{{z(72000)=(72000-60000)/6000=2}}}
{{{P(2)=0.97725}}}
P(x <72K)={{{0.97725}}}
P(x >72K)=1-P(x <72K)=1-0.97725={{{highlight_green(0.02275)}}}
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