the following table contains a breakdown by sex of the faculty members at various ranks at hodgepodge university: Males Females professor 16 17 associate professor 39 35 assistant professor 57 59 instructor/lecturer 29 31 what is the probability that a faculty member selected at random will be a male professor, a female assistant professor, a instructor/lecturer and a female. show all work Solution No. of professors=33 male=16 female =17 Asso Profs = 74 Assi profs = 116 male=57 female =59 instructors=60 males=141 females=142 Probability for being a male prof= 16/283=0.057 Probability for being a female assi prof= 59/283=0.208 Probability for being a instructor=60/283=0.212 Probability for being a female=142/283=0.502.