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 16 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 16 people are hired, assuming that there is no discrimination based on gender.
(Report answer accurate to 8 decimal places).

Explanation / Answer

here for binomial distribution paramter p=0.5 and n=16

hence  probability of getting four or fewer women when 16 people are hired

=P(X<=4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

=16C0(0.5)0*(0.5)16+16C1(0.5)1*(0.5)15+16C2(0.5)2*(0.5)14+16C3(0.5)3*(0.5)13+16C4(0.5)4*(0.5)12=0.03840637

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