Languages in Canada Canada has two official languages, English and French. Choose a

Chapter 5, Problem 46

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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?

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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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