Concept explainers
a.
To find: the
a.
Answer to Problem 68E
Explanation of Solution
Given:
The two-way table describes the 595 students who responds to a school survey about breakfast.
Consider
Male | Female | Total | |
Eats break-fast regularly | 190 | 110 | 300 |
Doesn’t eats break-fast regularly | 130 | 165 | 195 |
Total | 320 | 275 | 595 |
Concept used:
Probability is the number of favourable outcomes divided by the number of possible outcomes.
Thus, Definition condition probability:
Calculation:
According to the question, the personeats break-fast regularly. Now to find the probability that the result for “male”.
Therefore,
Thus, the conditional probability becomes:
Hence, the probability that the result for “male “is
b.
To find: the probability that the result for “eats breakfast regularly” in the given table.
b.
Answer to Problem 68E
Explanation of Solution
Given:
The two-way table describes the 595 students who responds to a school survey about breakfast.
Consider event B eats regularly breakfast, M is male.
Male | Female | Total | |
Eats break-fast regularly | 190 | 110 | 300 |
Doesn’t eats break-fast regularly | 130 | 165 | 195 |
Total | 320 | 275 | 595 |
Concept used:
Probability is the number of favourable outcomes divided by the number of possible outcomes.
Thus, Definition condition probability:
Calculation:
According to the question, the person is male. Now to find the probability that the result for “eats break-fast regularly”.
Therefore,
Thus, the conditional probability becomes:
Thus, the conditional probability becomes:
Hence, the probability that the result for “eats breakfast regularly” is
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