Suppose that 10 of adult population has blood chemistry para

Suppose that 10% of adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, Of   four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic?

Solution

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    4      
p = the probability of a success =    0.1      
x = the number of successes =    1      
          
Thus, the probability is          
          
P (    1   ) =    0.2916 [ANSWER]