the probability that a plant produces two or more seeds is 2

Solution

Note that P(at least x) = 1 - P(at most x - 1).          
          
Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    5      
p = the probability of a success =    0.2      
x = our critical value of successes =    3      
          
Then the cumulative probability of P(at most x - 1) from a table/technology is          
          
P(at most   2   ) =    0.94208
          
Thus, the probability of at least   3   successes is  
          
P(at least   3   ) =    0.05792 [ANSWER]