SOLUTION: 37% of the birds in Cititon Park are blue. What is the probability that, in a random sample of 135 birds, more than 50 are blue birds? Use a normal approximation to compute your an

Algebra ->  Probability-and-statistics -> SOLUTION: 37% of the birds in Cititon Park are blue. What is the probability that, in a random sample of 135 birds, more than 50 are blue birds? Use a normal approximation to compute your an      Log On


   

Question 1175650: 37% of the birds in Cititon Park are blue. What is the probability that, in a random sample of 135 birds, more than 50 are blue birds? Use a normal approximation to compute your answer. Round your answer to 4 decimal places.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Probability:   p =.35
Sample: n = 135 , 50/130 = .37
z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29
z+=blue+%28.37+-+.35%29%2Fsqrt%28blue%28.35%28.65%29%2F135%29%29
   z = .00039
P(x > 50) = 1 - P(x ≤ 50)  
1 -  P(x ≤ 50) = 1 -   P(z ≤ .0004) = 1- .5 = .5 0r 50%
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