Question

According to the American Medical Association, about 36% of all U.S. physicians under the age of 35 are women. Your company has just hired eight physicians under the age of 35 and none is a woman. If a group of women physicians under the age of 35 want to sue your company for discriminatory hiring practices, would they have a strong case based on these numbers? Use the binomial distribution to determine the probability of the company’s hiring result occurring randomly, and comment on the potential justification for a lawsuit.

(Round your answer to 4 decimal places.)

Probability of hiring result occuring randomly: enter the probability of the company’s hiring result occurring randomly

Answer 1

Answer)

As there are fixed number of trials and probability of each and every trial is same and independent of each other

Here we need to use the binomial formula

P(r) = ncr*(p^r)*(1-p)^n-r

Ncr = n!/(r!*(n-r)!)

N! = N*n-1*n-2*n-3*n-4*n-5........till 1

For example 5! = 5*4*3*2*1

Special case is 0! = 1

P = probability of single trial = 0.36

N = number of trials = 8

R = desired success = 0

P(0) = 8c0*(0.36^0)*(1-0.36)^7-0

P(0) = 0.0281474976710656 ~ 0.0281

As the probability is less than 0.05

It is a rare event or unusual event