Use the normal approximation to the binomial to find the fol

Use the normal approximation to the binomial to find the following: P(X 7) n=10, p=0.5

Solution

Normal Approximation to Binomial Distribution
Mean ( np ) =10 * 0.5 = 5
Standard Deviation ( npq )= 10*0.5*0.5 = 1.5811
Normal Distribution = Z= X- u / sd                   
P(X < 7) = (7-5)/1.5811
= 2/1.5811= 1.2649
= P ( Z <1.2649) From Standard NOrmal Table
= 0.8971                  
P(X >= 7) = 1 - P(X < 7)
= 1 - 0.8971
= 0.1029