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A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority.

Sagot :

Answer:

a.
Calculate mean = np
mu = 1650 * 0.12 = 198

b.
Calculate sigma = √(np(1-p))
sigma = √(1650*0.12*0.88) = 13.2

c.

Using the normal approximation to the binomial distribution:

Find P(X < 165)
z = (x - mu)/sigma
z = (165 - 198)/13.2
z = -33/13.2
z = -2.5
p = 0.0062