SOLUTION: Suppose we want to determine the (binomial) probability(p) of getting 6 heads in 14 flips of a 2-sided coin. Using the Binomial Probabilities Table in Appendix B of the text, what

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose we want to determine the (binomial) probability(p) of getting 6 heads in 14 flips of a 2-sided coin. Using the Binomial Probabilities Table in Appendix B of the text, what      Log On


   

Question 610375: Suppose we want to determine the (binomial) probability(p) of getting 6 heads in 14 flips of a 2-sided coin. Using the Binomial Probabilities Table in Appendix B of the text, what values of n, x and p would we use to look up this probability, and what would be the probability?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

P(6 heads in 14 flips)

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. In this case p+=+.5 & q = 1/2 or .5

nCx = n%21%2F%28x%21%28n-x%29%21%29  n+=+14 and x+=+6

P = 14C6(.5)^6(.5)^8 = 3003(.5)^6(.5)^8 = .1833