Question 1095851
z=(x-mean)/sd
a. (130-100)/15=2
P(z =2 or more) is 0.0228
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this is (90-100)/15 or -2/3 to (105-100)/15 or +1/3
probability z is between these is 0.3781
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=(86-100)/15=-14/15, which is 0.1753 or 18th percentile.
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want z for probability of 0.53
that is +0.08
0.08=(x-mean)/15
1.20=x-100
x=101.2