Consider the following binomial experiment The probability t

Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of jelly beans is 25 . If Sally chooses 10 jelly beans, what is the probability that at most 2 will be green jelly beans? a) 0.5000 b) 0.1553 c) 0.1673 d) 0.3600 e) 0.8327 f) None of the above.

Solution

Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    10      
p = the probability of a success = 2/5 =   0.4      
x = the maximum number of successes =    2      
          
Then the cumulative probability is          
          
P(at most   2   ) =    0.167289754 = 0.1673 [ANSWER, C]