SOLUTION: Find the normal approximation for the binomial probablity that x = 4. where n = 12 and p = 0.6.

Question 403996: Find the normal approximation for the binomial probablity that x = 4. where n = 12 and p = 0.6.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the normal approximation for the
binomial probablity that x = 4. where n = 12 and p = 0.6.
----
mean = np = 12*0.6 = 2
std = sqrt(npq) = sqrt(2*0.4) = sqrt(0.8)
-------
z(3.5) = (3.5-2)/sqrt(0.8) = 1.6771
---
z(4.5) = (4.5-2)/sqrt(0.8) = 2.7951
---
P(x = 4) = P(1.6771< z < 2.7951) = 0.0442
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Cheers,
Stan H.
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