The table below shows the results of a survey that asked 1048 adults from a cert

Question

The table below shows the results of a survey that asked 1048 adults from a certain country if they would support a change in their country's flag. A person is selected at random. Complete parts (a) through (d. Total 495 553 1048 Unsure Males Females Total Support 157 231 388 Oppose 329 298 627 24 (a) Find the probability that the person opposed the change or is female. P(opposed the change or is female)- Round to the nearest thousandth as needed.) (b) Find the probability that the person supports the change or is male. P(supports the change or is male)- (Round to the nearest thousandth as needed.) (c) Find the probability that the person is not unsure or is female P(is not unsure or is female)- (Round to the nearest thousandth as needed.) (d) Are the events "being male" and "support" mutually exclusive? Explain. O A. O B. ° C. Yes, because one can't be male and support the change at the same time No, because there are 157 males that support the change. No, because one can't be male and support the change at the same time D. Yes, because there are 157 males that support the change

Explanation / Answer

a) P(opposed the change or female) = (553 + 329)/1048

= 0.842

b) P(supports the change or male) = (495+231)/1048 = 0.693

c) P(not unsure or female) = 1 - P(unsure and male)

= 1 - 9/1048

= 0.991

d) B. No, because there are 157 males that support the change

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