In a poll conducted by a research center in a certain year, 2000 adults ages 18
ID: 2927451 • Letter: I
Question
In a poll conducted by a research center in a certain year, 2000 adults ages 18 years old and older were asked how frequently they are in touch with their parents by phone. The results of the poll are as follows.
A person who participated in the poll is selected at random.
(a) What is the probability that the person said he or she kept in touch with his or her parents once a week?
(b) What is the probability that the person said he or she kept in touch with his or her parents at least once a week?
Explanation / Answer
Probability that the person said he or she kept in touch with his or her parents once a week
Form the table we find that the percentage of respondents who are in touch with his or her parents once a week = 49%
Therefore Probability that the person said he or she kept in touch with his or her parents once a week = 49 / 100 = 0.49
Probability that the person said he or she kept in touch with his or her parents at least once a week
Percentage of respondents who are in touch with his or her parents at least once a week = Percentage of respondents who are in touch with his or her parents once a week + Percentage of respondents who are in touch with his or her parents daily
From the table,
Percentage of respondents who are in touch with his or her parents once a week = 49
Percentage of respondents who are in touch with his or her parents daily =32
Percentage of respondents who are in touch with his or her parents at least once a week = 49 + 32 = 81
Probability that the person said he or she kept in touch with his or her parents at least once a week = 81 /100 = 0.81
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