SOLUTION: 17% of published criminals are caught. If 200 are published, find the probability that between 25 and 40 inclusive are arrested. I have tried finding the probability of 40 or le

Algebra ->  Probability-and-statistics -> SOLUTION: 17% of published criminals are caught. If 200 are published, find the probability that between 25 and 40 inclusive are arrested. I have tried finding the probability of 40 or le      Log On


   

Question 463178: 17% of published criminals are caught. If 200 are published, find the probability that between 25 and 40 inclusive are arrested.
I have tried finding the probability of 40 or less and subtracting it from 25 or less and that is incorrect. And I have tried finding probability of 40 or more and subtracting it from 25 or more. Any tips?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
p=.17, q=1-.17=.83, n=200
mu=np=200%2A.17=34
sigma=sqrt%28npq%29=sqrt%28200%2A.17%2A.83%29=5.31
z=%28x-mu%29%2Fsigma=%28%2824.5-34%29%2F5.31%29=-1.79
z=%28x-mu%29%2Fsigma=%28%2840.5-34%29%2F5.31%29=1.22
Area between z=-1.79 and z=1.22 under the normal curve is 0.852
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Ed