The table below shows the results of a survey that asked 1063 adults from a cert
ID: 3355102 • Letter: T
Question
The table below shows the results of a survey that asked 1063 adults from a certain country if they would s country's flag. A person is selected at random. Complete parts (a) through (d) Support Males 164 Females 239 Total 403 Oppose 330 293 623 Unsure 13 24 37 Total 507 556 1063 (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. A. B. ° C. D. Yes, because one can't be male and support the change at the same time. Yes, because there are 164 males that support the change. No, because one can't be male and support the change at the same time. No, because there are 164 males that support the change. .. 1.1 Vi :/i .. (u) More Click to select your answer(s). MacBook AirExplanation / Answer
a)
P(oppose or female) = P(oppose) + P(female) - P(oppose and female)
= (623 + 556 - 293)/1063
=0.833490
b)
P(support or male)
= (507 + 403 - 164)/1063
= 0.701787
c)
P(not unsure or female)
= (623 + 403 +24)/1063
= 0.9877704
d)
no
P(male and support) not equal to 0
option D) is correct
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