b. The table presents the results of a market research survey carried out by an electrical appliance manufacturer into public reaction to proposed changes to a current market-leading product. All households covered in the survey were classified by area type (Urban or Rural) and by reaction (negative, positive or undecided) to the proposed changes. The responses to the survey follow. Urban Rural Negative 210 120 Positive 320 150 Undecided 70 30 i. If a household is taken at random, what is the probability that the household has a positive reaction to the proposed changes? ii. A randomly selected household turns out to be undecided about the proposed changes. Compute the probability that this household is in a rural area. iii. If a household is taken at random, what is the probability that the household is undecided and in an urban area?

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b. The table presents the results of a market research survey carried out by an electrical appliance
manufacturer into public reaction to proposed changes to a current market-leading product. All households
covered in the survey were classified by area type (Urban or Rural) and by reaction (negative, positive or
undecided) to the proposed changes. The responses to the survey follow.
Urban
Rural
Negative
210
120
Positive
320
150
Undecided
70
30
i. If a household is taken at random, what is the probability that the household has a positive reaction to
the proposed changes?
ii. A randomly selected household turns out to be undecided about the proposed changes. Compute the
probability that this household is in a rural area.
iii. If a household is taken at random, what is the probability that the household is undecided and in an
urban area?
iv. Given that a household is in urban area, what is the probability that the household has a negative
reaction to the proposed changes?
Transcribed Image Text:b. The table presents the results of a market research survey carried out by an electrical appliance manufacturer into public reaction to proposed changes to a current market-leading product. All households covered in the survey were classified by area type (Urban or Rural) and by reaction (negative, positive or undecided) to the proposed changes. The responses to the survey follow. Urban Rural Negative 210 120 Positive 320 150 Undecided 70 30 i. If a household is taken at random, what is the probability that the household has a positive reaction to the proposed changes? ii. A randomly selected household turns out to be undecided about the proposed changes. Compute the probability that this household is in a rural area. iii. If a household is taken at random, what is the probability that the household is undecided and in an urban area? iv. Given that a household is in urban area, what is the probability that the household has a negative reaction to the proposed changes?
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