A survey organization asked respondents what their views were on the probable fu

Question

A survey organization asked respondents what their views were on the probable future direction of the economy and how they voted for president in the last election. The following table shows the fractions of respondents in nine classifications: What is the probability that a randomly chosen respondent voted for the president? What is the probability that a randomly chosen respondent is pessimistic about the economy? What is the conditional probability that a respondent who voted for the president will be pessimistic about the economy? What is the conditional probability that a respondent who is pessimistic about the economy voted for the president? Are views on the economy independent of how respondents voted?

Explanation / Answer

a) probabilty that a random chosen person voted for president =0.4

b) probabilty that a random chosen person pessimistic about economy =0.31

c)conditional probabilty =0.08/0.4 = 0.2

d)conditional probabilty =0.08/0.31 =0.258

e)no as above given conditional probabilty is not equal to (in part c equal to voted for president and in part d equal to pessimist)

hence they are not independent.

View on economy optimistic pessimistic Neutral total V for president 0.2 0.08 0.12 0.4 Voted against 0.08 0.15 0.12 0.35 did not vote 0.07 0.08 0.1 0.25 total 0.35 0.31 0.34 1

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