According to the most recent data, 12.3% of engineers (electrical, mechanical, civil, and industrial) were women. suppose a random sample of 80 engineers is selected. a. how likely is it that a random sample of 80 people will contain 12 or more women in these positions? b. how likely is it that the random sample will contain fewer than 5 women in these positions? c. if the random sample included 160 engineers, how would this change your answer to part b?