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MATH 1530 Elements of Statistics Class Activity Section 5..3 Blood Type & Rh: Th

ID: 3367815 • Letter: M

Question

MATH 1530 Elements of Statistics Class Activity Section 5..3 Blood Type & Rh: The chart below describes the blood groups and Rh types of 100 people. For the questions below, assume that 1 person is randomly selected and find the indicated probability Rht Rh- A 35 ABI 4 O 39 1. P(A) 2. P(not A) 3. P(Rh-) 4. P(A or Rh-) 5. P(A & Rh-)- CONSIDER THE ADDITION RULES &THINK; ABOUT THIS: If P(A) 3/11, P(B) -4/11, and P(A or B)-7/11, are events A and B mutually exclusive? Are events A and B independent ?

Explanation / Answer

frm above:

1)

P(A)=40/100=0.4

2)P(not A)=1-P(A)=1-0.4 =0.6

3)

P(Rh-)=14/100=0.14

4)P(A or Rh-)=(40+14-5)/100= 0.49

5)

P(A and Rh-)=5/100=0.05

as P(A n B)=P(A)+P(B)-P(A or B)=(3/11)+(4/11)-7/11 =0

as P(A n B)=0 ; hence A and B are mutually exclusive.

cause P(A n B) is not equal to P(A)*P(B); hence A and B are not independent,

Rh+ Rh- Total A 35 5 40 B 8 2 10 AB 4 1 5 O 39 6 45 total 86 14 100