1) Suppose a person is chosen at random. Use your knowledge about the world to d
ID: 3108714 • Letter: 1
Question
1)
Suppose a person is chosen at random. Use your knowledge about the world to decide whether the event that the person has
brownbrown eyes and the event that the person is femalefemale are independent or associated.
Choose the correct answer below.
A The two events are independent because having brownbrown eyes does not depend on being
femalefemale.
B.The two events are associated because having brownbrown eyes does not depend on being
femalefemale.
C.The two events are associated because being femalefemale depends on having brownbrown
eyes.
D.The two events are independent because being femalefemale depends on having
brownbrown
eyes.
2) Consider two pairs of grandparents. The first pair has 44 ;grandchildren and the second pair has
3636
grandchildren. Which of the two pairs is more likely to have between 40% and 60%
girlsgirls
as grandchildren, assuming that boys and girls are equally likely as children? Why?
Choose the correct answer below.
A.
The first pair is more likely to have between 40% and 60%
girlsgirls
because the second pair are having so many grandchildren it is less likely that they will have between 40% and 60%
girlsgirls
in accordance with the Law of Large Numbers.
B.
The second pair is more likely to have between 40% and 60%
girlsgirls
because the Law of Large Numbers suggests that the larger the number of repetitions, the closer the empirical probability of an event is likely to be to the true theoretical probability.
C.
Both pairs of grandparents are equally likely to have between 40% and 60%
girlsgirls
according tot he Law of Large Numbers.
D.
The first pair is more likely to have between 40% and 60%
girlsgirls
because it is likely they have exactly 50%
girlsgirls
which is equal to the theoretical value.
Explanation / Answer
1 ) A : The event of having brown eyes B : The event of being a female
The two events A and B are independent as the event A is not affected due to the occurance of event B or vice versa
Answer : A
2) First pair : 4 Grand Children Second Pair : 36 Grand Children
The probability of a girl or boy is the same (equally likely)
Out of 4 (40% to 60% ) is (1.6, 2.4)
Out of 36 (40% to 60%) is (14.4, 21.6)
According to Law of Large Numbers the occurance of an event is more likely to the theroetical case if the number of occurances are more
So pair 2 is likely to have 40% to 60% girls as grand children
Answer : B
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