Suppose X is binomially distributed with n 12 and 20 The p

Suppose X is binomially distributed with n = 12 and = .20. The probability that X will be less than or equal to 3 is

Solution

Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    12      
p = the probability of a success =    0.2      
x = the maximum number of successes =    3      
          
Then the cumulative probability is          
          
P(at most   3   ) =    0.79456895 [ANSWER]