rs are classified by income and political party. The results are shown in the ta

Question

rs are classified by income and political party. The results are shown in the table. If a 390 vote person is selected at random from the sample, find the probability that the person Democrat Republican Total Low Income Medium Income High Income Super High Income Total 107 92 19 7 225 75 67 19 182 159 38 165390 A) has a medium income B) votes democrat C) has a medium income and votes democrat D) has a medium income or votes democra The table below describes the exercise habits of a group of people suffering from high blood pressure. If one of the 1046 subjects is randomly selected, find the probability that the perso No Occasional Regular exercise exercise exercise Total 85 74 543 89 503 163 1046 en Women 345 Total 729 69 154 B) exercises occasionally, A) is a man, given the person exercises occasionally given the person is a woman. D) exercises regularly or exercises o C) is a man and does no exercise pose that the probability that Sue will pass her statistics test is 0.62, the probability her physics test is 0.48, and the probability that she will pass both tests is0290. ability that

Explanation / Answer

a)
probability = favourable /total

has a medium income
= 159/390   {see row corresponding to medium income}

b)
votes democrat
= 225/390

c)
medium income and votes democrat
= 92/390

d)
has a medium income of votes democracy
= ( 159 + 225 - 92)/390   {P( A or B) = P(A) + P(B) - P(A and B)}
= 292/390

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