Question 523793
c)
s=sqrt(npq)=sqrt(100*.38*.62)=4.854
m=np=100*.38=38
z=(x-m)/s=(29.5-38)/4.854=-1.751
z=(40.5-38)/4.854=0.515
The area under the normal curve between -1.751 and 0.515 is 0.657  the probability that between 30 and 40 of the delinquents will commit another crime.
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Ed