A car insurance company has determined that 9 of all drivers

A car insurance company has determined that 9% of all drivers were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting exactly 3 who were involved in a car accident last year?

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 =    10      
p = the probability of a success =    0.09      
x = the number of successes =    3      
          
Thus, the probability is          
          
P (    3   ) =    0.045206254 [ANSWER]