A plane has four engines Each engine has a probability of fa

A plane has four engines. Each engine has a probability of failing during a flight of 0.3. What is the probability that no more than two engines will fail during a flight? Assume that the engines are independent.

Solution

Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    4      
p = the probability of a success =    0.3      
x = the maximum number of successes =    2      
          
Then the cumulative probability is          
          
P(at most   2   ) =    0.9163 [ANSWER]