Concept explainers
a.
To find: the
a.
Answer to Problem 71E
Explanation of Solution
Given:
The table shows the percentage of student who study foreign language:
Language | Spanish | French | German | All others | None |
Probability | 0.26 | 0.09 | 0.03 | 0.03 | 0.59 |
Concept used:
Complement rule:
Calculation:
Using the complement rule to find the probability:
Hence,the probability that the student is studying a language other than English is 0.41.
b.
To find: the conditional probability that a student is studying Spanish language.
b.
Answer to Problem 71E
Explanation of Solution
Given:
The student is studying Spanish language and is study some another language other than English. The table shows the percentage of student who study foreign-language:
Language | Spanish | French | German | All others | None |
Probability | 0.26 | 0.09 | 0.03 | 0.03 | 0.59 |
Concept used:
Probability is the number of favourable outcomes divided by the number of possible outcomes.
Thus, Definition condition probability:
Calculation:
Result from part (a):
Thus, the required conditional probability becomes:
Hence,the conditional probability that a student is studying Spanish language is
Chapter 5 Solutions
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