Question

5. Use data in the following table, which summarizes blood group and Rh types for 100 subjects. These values may vary in different regions according to the ethnicity of the population (20 points)        

group type	O	A	B	AB
Rh+	39	35	8	4
Rh-	6	5	2	1

If 5 of the 100 subjects randomly selected, find, in scientific notation, the probability that they are all group A and Rh+, if the selections are made

1. with replacement

2. without replacement

Answer 1

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Answer:

If 5 of the 100 subjects randomly selected
the probability that they are both group O and
type Rh+.
P(a person is A and type Rh+) = 35/100

a)

assume the selections are made with replacement
P(5 people are A and Rh+) = 0.35^5 = 0.005252

b)

assume the selections are made without replacement.
(2 people are O and Rh+) = (35/100)(34/99)(33/98)(32/97)(31/96) = 0.00431197