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).

Algebra ->  Probability-and-statistics -> 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).      Log On


   



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) About Me  (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).
-----
Use the normal to find p(4.5 < x < 5.5)
-----
mean = np = 12*0.3 = 3.6
std = sqrt(3.6*0.7) = 1.5785
--------------
z(4.5) = (4.5-3.6)/1.5785 = 0.5669
z(5.5) = (5.5-3.6)/1.5785 = 1.2037
----
Approx = P(0.5669< z <1.2037) = 0.1710
===========================================
cheers,
Stan H.
===========================================