Question

lara surveyed all of the ( 11^{\text{th}} ) grade students at her school about the number of languages they speak and whether or not they have allergies. here are her results.

give the conditional distribution of whether or not the person has allergies for the students who speak 2 languages. round your answers to the nearest tenth of a percent.

Explanation:

Step1: Calculate the percentage for allergies

The formula for percentage is $\frac{\text{part}}{\text{whole}}\times100$.
For students who speak 2 languages and have allergies, the part is 19 and the whole (total for 2 - language speakers) is 33.
So the percentage is $\frac{19}{33}\times100=\frac{1900}{33}\approx57.6\%$

Step2: Calculate the percentage for no - allergies

For students who speak 2 languages and have no allergies, the part is 14 and the whole is 33.
Using the percentage formula $\frac{\text{part}}{\text{whole}}\times100$, we get $\frac{14}{33}\times100=\frac{1400}{33}\approx42.4\%$

Answer:

Allergies: $57.6\%$, No Allergies: $42.4\%$