the probability that a plant produces two or more seeds is .20. A sample of five

Question

the probability that a plant produces two or more seeds is .20. A sample of five plants is observed. What is the probability at least three plants produce two or more seeds? the probability that a plant produces two or more seeds is .20. A sample of five plants is observed. What is the probability at least three plants produce two or more seeds? the probability that a plant produces two or more seeds is .20. A sample of five plants is observed. What is the probability at least three plants produce two or more seeds? the probability that a plant produces two or more seeds is .20. A sample of five plants is observed. What is the probability at least three plants produce two or more seeds?

Explanation / Answer

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]

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