After being rejected for employment, Kim Kelly learns that the Bellevue Credit C

Question

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only four women among the last 18 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting four or fewer women when 18 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). P(at most four) =

Explanation / Answer

Using a cumulative binomial distribution table or technology, matching          
          
n = number of trials =    18      
p = the probability of a success =    0.5      
x = the maximum number of successes =    4      
          
Then the cumulative probability is          
          
P(at most   4   ) =    0.015441895 [ANSWER]

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