Question 1154101

{{{mu=100 }}}
 {{{delta=15}}}
{{{p(80<=X<=105)}}}

{{{z(80)=(80-100)/15=-1.33333}}}
{{{P(80<=z)=P(-1.33333<=z)=1-P(z>=-1.33333)=1-0.908788=0.091212}}}

{{{z(105)=(105-100)/15=0.33333}}}

{{{P(z<=105)=P(z<=0.33333)=1-P(z>=0.33333)=1-0.369443=0.630557}}}

{{{0.630557-0.091212=0.539345}}}

{{{p(80<=X<=105)=0.539345}}}