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Languages in Canada Canada has two official languages, English and French. Choose a
Chapter 5, Problem 46(choose chapter or problem)
Canada has two official languages, English and French. Choose a Canadian at random and ask, “What is your mother tongue?” Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region:
\(\begin{array}{lcccc} \hline \text { Language: } & \text { English } & \text { French } & \text { Asian/Pacific } & \text { Other } \\ \text { Probability: } & 0.63 & 0.22 & 0.06 & ? \\ \hline \end{array}\)
(a) What probability should replace “?” in the distribution? Why?
(b) What is the probability that a Canadian’s mother tongue is not English?
(c) What is the probability that a Canadian’s mother tongue is a language other than English or French?
Questions & Answers
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QUESTION:
Canada has two official languages, English and French. Choose a Canadian at random and ask, “What is your mother tongue?” Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region:
\(\begin{array}{lcccc} \hline \text { Language: } & \text { English } & \text { French } & \text { Asian/Pacific } & \text { Other } \\ \text { Probability: } & 0.63 & 0.22 & 0.06 & ? \\ \hline \end{array}\)
(a) What probability should replace “?” in the distribution? Why?
(b) What is the probability that a Canadian’s mother tongue is not English?
(c) What is the probability that a Canadian’s mother tongue is a language other than English or French?
ANSWER:Step 1 of 4
Given,
The probability of English, \(P(E)=0.63\)
The probability of French, \(P(F)=0.22\)
The probability of Asian/Pacific, \(P(A / P)=0.06\)
Let’s find the following:
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