In a study of marriages, researchers examined the faithfulness of men and the su
ID: 3125192 • Letter: I
Question
In a study of marriages, researchers examined the faithfulness of men and the survival of the marriage. The results for 5,000 marriages were as follows:
Faithful (F)
Unfaithful (F’)
Divorce (D)
1300
1200
2500
No Divorce (D’)
1700
800
2500
3000
2000
5000
If an individual man is selected at random, what is the probability that he or she
a) is divorced?
b) Is divorced given that he was faithful?
c) is divorced and unfaithful?
d) is divorced or faithful?
e) Is there a relationship between beverage faithfulness and divorce?
Faithful (F)
Unfaithful (F’)
Divorce (D)
1300
1200
2500
No Divorce (D’)
1700
800
2500
3000
2000
5000
Explanation / Answer
a)The probability that an individual man is selected at random is divorced is:
2500/5000=0.5
b)The probability that the person is divorced given that he was faithful is:
P(D given F)
=P(D and F)/P(F)=(1300/5000)/(3000/5000)
=0.43
c) The probability that the person is divorced and unfaithful is:
P(D and F’)=1200/5000=0.24
d) The probability that the person is divorced or faithful is:
P(D or F)=P(D)+P(F)-P(D and F)
=2500/5000+3000/5000-1300/5000
=0.84
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.