(12.10) Canada has two official languages, English and French. Choose a Canadian

Question

(12.10) 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 Asian/Pacific region:

What probability (±0.01) should replace "?" in the distribution?    

What is the probability (±0.01) that a Canadian's mother tongue is not English?    

(12.10) 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 Asian/Pacific region:

What probability (±0.01) should replace "?" in the distribution?    

What is the probability (±0.01) that a Canadian's mother tongue is not English?    

Explanation / Answer

The sum of total probabilities should be 1. Hence,

0.53 + 0.26 + 0.09 + P(Other) = 1

0.88 + P(Other) = 1

P(Other) = 0.12

P(Canadian's mother tongue is not English)

= 1 - P(English)

= 1 - 0.53

= 0.47

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