How hard was it in 1973 for women to get into Berkeley? In that year, their graduate school admitted 3700 out of 8300 men applicants, and 1500 out of 4300 women applicants

(a)Make a two-way table representing this information.

(b)What is the probability of being male and admitted?

(c)What is the probability of being a female and admitted?

(d)Are gender and admission into Berkeley independent?

(e)Are gender and admission into Berkeley mutually exclusive?

(f)Is there evidence of gender discrimination?