Question

Complete the two-way frequency table below, which shows the

distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4

Answer 1

a.

Explanation:

Probability that is a AB type blood given is a Male

P(AB/M) = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)

(42/105) = (500/1,250)

.4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.