SOLUTION: 4. Research on new juvenile delinquents revealed that 38% of them committed another crime. a. What is the probability that of the last 100 new juvenile delinquents put on probatio

Algebra ->  Probability-and-statistics -> SOLUTION: 4. Research on new juvenile delinquents revealed that 38% of them committed another crime. a. What is the probability that of the last 100 new juvenile delinquents put on probatio      Log On


   

Question 523793: 4. Research on new juvenile delinquents revealed that 38% of them committed another crime.
a. What is the probability that of the last 100 new juvenile delinquents put on probation, 30 or more will commit another crime?
b. What is the probability that 40 or fewer of the delinquents will commit another crime?
c. What is the probability that between 30 and 40 of the delinquents will commit another crime?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
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