Ap Statistics Solutions To Packet 6 - Probability The Study Of Randomness Worksheet With Answers Page 20
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
216.79 ARE YOU MY (BLOOD) TYPE? All human blood can be “ABO-typed” as one of O, A, B,
or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of
blood types for a randomly chosen person in the United States:
Blood type:
O
A
B
AB
U. S. probability:
0.45
0.40
0.11
?
(a) What is probability of type AB blood in the United States?
P(Type AB) = 1 − (0.45 + 0.40 + 0.11) = 0.04.
(b) An individual with type B blood can safely receive transfusions only from persons with type B or
type O blood. What is the probability that the husband of a woman with type B blood is an acceptable
blood donor for her?
P(Type B or Type O) = 0.11 + 0.45 = 0.56.
(c) What is the probability that in a randomly chosen couple the wife has type B blood and the
husband has type A?
Assuming that the blood types for husband and wife are independent,
P(Type B and Type A) = (0.11) (0.40) = 0.044.
(d) What is the probability that at least one of a randomly chosen couple has type A blood and the
other has type B?
P(Type B and Type A) + P(Type A and Type B) = (0.11)(0.40) + (0.40)(0.11) = 0.088
(e) What is the probability that at least one of a randomly chosen couple has type O blood?
2
P(at least one has type O) = 1 − P(neither has Type O) = 1 – (0.55)
= 0.6975
20
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education