Question 635161
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
A surgical technique is performed on <u>eigh</u>t patients. You are told that there is an 80% chance of success. 
a) Construct a binomial distribution. 
P = nCx* {{{p^x*q^(n-x)}}} p= .8 and q = .2  and n = 8
b) Find the 
mean = np = {{{8*.8 = 6.4}}} 
variance = npq = {{{6.4*.2 = 1.28}}}
standard deviation of the probability distribution.{{{sqrt(1.28)}}}
c) P(x = 6) = {{{28 *(.8)^6(.2)^2}}} =  .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%