Question

Canada has two official languages English and French a poll was given out to people asking them what language does your mother speak here is what the poll found out combining many separate languages from the Asian/pacific region 67.3% spoke English 27.5% spoke French 4.4% spoke from Asian/pacific region and 0.8% spoke a different language P(mother spoke French of English) =P(mother did not speak English) =

Answer 1

From the given values, the probability that a mother speak French or English is given by

`P(\text{mother spoke French or English)=P(mother spoke French)+P(English)}`

because the event "speak French" is independent of the event "speak English". By substituting the given values, we get

`\begin{gathered} P(\text{mother spoke French or English)=}0.673+0.275 \\ P(\text{mother spoke French or English)=}0.948 \end{gathered}`

On the other hand,

`P\mleft(motherdidnotspeakEnglish\mright)=1-P\mleft(motherspeakEnglish\mright)`

which igives

`\begin{gathered} P(motherdidnotspeakEnglish)=1-0.673 \\ P(motherdidnotspeakEnglish)=0.327 \end{gathered}`

Therefore, the answer are

`\begin{gathered} P(\text{mother spoke French or English)=}0.948 \\ P(motherdidnotspeakEnglish)=0.327 \end{gathered}`