SOLUTION: A Department of justice survey found that 20% of all the prison paroless become repeat offenders within 5 years of being released. Find the probability of random sample of 200 pris

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Question 1178275: A Department of justice survey found that 20% of all the prison paroless become repeat offenders within 5 years of being released. Find the probability of random sample of 200 prison paroless , less than 30 will become repeat offenders , within 5 years of being released.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution:  p(repeat) = .20 
Sample :  30/200 = .15 
P(x<30)
 z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29
z+=blue+%28-.05%29%2Fsqrt%28blue%28.2%28.8%29%2F200%29%29 = -.470
P( z ≤ -.470) = .3192

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