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