Assume that 1 of a certain type of resistor is bad when purc

Assume that 1% of a certain type of resistor is bad when purchased. What is the probability that a circuit with 10 resistors has exactly 1 bad resistor?

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 =    0.01      
x = the number of successes =    1      
          
Thus, the probability is          
          
P (    1   ) =    0.091351725 [ANSWER]