SOLUTION: 5. Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.7. Compare this probability to the value of P(x=6).

Algebra ->  Probability-and-statistics -> SOLUTION: 5. Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.7. Compare this probability to the value of P(x=6).      Log On


   

Question 458189: 5. Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.7. Compare this probability to the value of P(x=6).
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
mu=np=15%2A0.7=10.5
sigma=sqrt%28n%2Ap%2Aq%29=sqrt%2815%2A.7%2A.3%29=1.77
15C6*.7^6*.3^9=.0116 area of binomial rectangle for 6.
z=(6.5-10.5)/1.77=-2.26
area of tail under normal curve=.0119
z=(5.5-10.5)/1.77=-2.82
area of tail under normal curve=.0024
.0119-.0024=.0095 area under the normal curve for 6.
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Ed