SOLUTION: A surgical technique is performed on eight patients. You are told that there is an 80% chance of success. a) Construct a binomial distribution. b) Find the mean, variance, an

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Question 635161: A surgical technique is performed on eight patients. You are told that there is an 80% chance of success.
a) Construct a binomial distribution.
b) Find the mean, variance, and standard deviation of the probability distribution.
c) Find the probability that the surgury is successful for exactly six patients.
d) Find the probability that the surgury is successful for fewer than six patients
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A surgical technique is performed on eight patients. You are told that there is an 80% chance of success. 

a) Construct a binomial distribution. 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2  and n = 8

b) Find the 

mean = np = 8%2A.8+=+6.4 

variance = npq = 6.4%2A.2+=+1.28

standard deviation of the probability distribution.sqrt%281.28%29

c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 =  .2936  or 29.36% 

d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6) 

            =  1 - .1678 - .3355 - .2936  = .2031   or 20.31%