3.The following are real data from Santa Clara County, CA. As of a certain time, there had been a total of 3,059 documented cases of
AIDS in the county. They were grouped into the following categories:

Homosexual IV Drug User* Heterosexual Contact Other
Female 0 70 136 49
Male 2,146 463 60 135

Suppose a person with AIDS in Santa Clara County is randomly
selected.
(i) Find P (Person is female). (2 Marks)
(ii) Find P (Person has a risk factor heterosexual contact). (2 Marks)
(iii) Find P (Person is female OR has a risk factor of IV drug user (2 Marks)
(iv) Find P (Person is female AND has a risk factor of homosexual) (2 Marks)
(v) Find P (Person is male AND has a risk factor of IV drug user) (2 Marks)
(vi) Find P (Person is female GIVEN person got the disease from
heterosexual contact) (2 Marks)
(v)Construct a Venn diagram. Make one group females and
the other group heterosexual contact. (3 Marks)