(a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)

MATLAB: An Introduction with Applications
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2.
The following table shows the income distribution for two groups of people in a country:
those who declare to belong to a faith, and those who declare to be free thinkers.
Income bracket
Middle
13278
2225
Religious
outlook
Faith believer
Free thinker
Lower
7940
1241
Upper
4527
813
(a)
A person is randomly selected from the group, find the probability that this person
is a
(i)
free thinker.
(ii)
free thinker given that he/she has middle income.
(iii) faith believer or he/she has lower income.
(b)
Are the events "Free thinker" and "Middle income" independent? Explain your
answer. (Note: Round the probabilities to two significant figures)
Transcribed Image Text:2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)
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