University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

56

Pages:

3
Author:

Mitchell Barr

Two-Way Tables and Probability 10.3 Essential Question How can you construct and interpret a two-way table? EXPLORATION: Completing and Using a Two-Way Table Work with a partner. A two-way table displays the same information as a Venn diagram. In a two-way table, one category is represented by the rows and the other category is ·epreseated by the columns. The Venn diagram shows the results of a survey in wh ic , 80 udents were asked whether they play a musical instrument and whether they speak a foreign language. Use5The Venn diagram to complete the two-way table. Then use the two-way table to answer each question. t Survey of 80 Students Play an Instrument /.,...--......._ Playan nstrument Speak a Foreign Language 25 Do Not Speak a Foreign Language 9 Total a. How many students play an instrument? b .How many students speak a foreign language? Do Not Play an Instrument [ (o ?0 � � ?q I Total t((:, :tl � d. How many students do not play an instrument and do not speak a foreign language? t.-{ e. How many students play an instrument and do not speak a foreign language? 25 c. How many students play an instrument and speak a foreign language? [� EXPLORATION: Two-Way Tables and Probability Work with a partner. In Exploration 1, one student is selected at random from the 80 students who took the survey. Find the &obability that the student b. speaks a ·ore1gn language. (?_� �{Jo �0- � �v c. plays an instrument and speaks a foreign � �D - :__� 10 d. does not play an instrument and does not speak a foreign lru1guag _� <1 1 62/ e. plays an instrument and does not speak a foreign language Name -------------------------- IC•f• Notetaking with Vocabulary Date ---- (continued) Extra Practice In Exercises 1 and 2, complete the two-way table. 1. 2. Arrival "tl Walk � City Bus Total I' Tardy On Time Total 22 l{ � 70 50 10 58 71,. Response Cl) Under 21 60 Yes No Total ·1 24 25 �1 IJb Over 21 29 Total 30 (130� '-t 5" 75 / ).� �1wfllil) 3. A survey was taken of)00 families with one child and'86 families with two or more children·to determine whether they were saving for college·.·ofthose.., 94 of the famili�s·with one child and 60 ofthe fafoilies with two or more children were saving for college. Orga�'ffies�e�;s�·1ts" i� ·;·t�;�";;yt;ble. Th�ffncl�i°;J'fn�;etth;•�;gfn'al frequencies. (J(I e. c�ilcA �.J .j:,1 ·, \..�