Using the concept of probability, it is found that:
a) 0.26 = 26% probability that a randomly selected person from this group likes country music.
b) 0.28 = 28% probability that a randomly selected person from this group likes rock music and is from the North.
c) 0.27 = 27% probability that a randomly selected person from this from this group likes oldies given that they are from the South.
d) P(R) = 0.44.
e) P(S) = 0.53.
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- A probability is given by the number of desired outcomes divided by the number of total outcomes.
- In this problem, these number of outcomes are drawn from the two-way table.
Item a:
- Out of 312 people, 81 like country music.
Thus:
[tex]p = \frac{81}{312} = 0.26[/tex]
0.26 = 26% probability that a randomly selected person from this group likes country music.
Item b:
- Out of 312 people, 88 like rock and are from the north.
Thus:
[tex]p = \frac{88}{312} = 0.28[/tex]
0.28 = 28% probability that a randomly selected person from this group likes rock music and is from the North.
Item c:
- 164 people from the South, of those 44 like oldies.
Thus:
[tex]p = \frac{44}{164} = 0.27[/tex]
0.27 = 27% probability that a randomly selected person from this from this group likes oldies given that they are from the South.
Item d:
- 138 people out of 312 like rock, thus:
[tex]P(R) = \frac{138}{312} = 0.44[/tex]
P(R) = 0.44.
Item e:
- 164 people out of 312 are from the South, thus:
[tex]P(S) = \frac{164}{312} = 0.53[/tex]
P(S) = 0.53.
A similar problem is given at https://brainly.com/question/24161830
