SOLUTION: Find the normal approximation for the binomial probability that x = 5,n = 12 and p = 0.3. Compare this probability to P(x = 5).

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Question 614474: Find the normal approximation for the binomial probability that x = 5,n = 12 and p = 0.3. Compare this probability to P(x = 5).
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the normal approximation for the binomial probability that x = 5,n = 12 and p = 0.3. Compare this probability to P(x = 5).
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Use the normal to find p(4.5 < x < 5.5)
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mean = np = 12*0.3 = 3.6
std = sqrt(3.6*0.7) = 1.5785
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z(4.5) = (4.5-3.6)/1.5785 = 0.5669
z(5.5) = (5.5-3.6)/1.5785 = 1.2037
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Approx = P(0.5669< z <1.2037) = 0.1710
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cheers,
Stan H.
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