Question

A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:

90 students like watching television

20 students like watching television but do not like reading

80 students like reading

40 students do not like watching television

Make a two-way table to represent the data and use the table to answer the following questions.

Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)

Answer 1

Part B: What is the probability that a student who does not like watching television also does not like reading?

Answer 2

@KendrickLamar2014

Answer 3

let's start with part A. Any ideas of how to set it up?

Answer 4

What is 90 + 20 + 80 + 40?

Answer 5

230

Answer 6

you are looking for a percentage. The standard formula for a percentage is

points of interest *100%
__________________
total points

Answer 7

Correct, now what is 90 + 80?

Answer 8

you would start by finding the total (230) and then divide the points of interest (students who like both TV AND reading) by said total, and then multiply by 100%.

Answer 9

actually - the total isn't 230. Some students will fit in multiple categories, and you don't want to count them twice.

Answer 10

then what is it?

Answer 11

Add the two mutually exclusive categories together - students that like watching television, and those that do not like watching tv. This will be your total as no student can belong to both.

What is your total?

Answer 12

130?

Answer 13

correct!

The next bit will likely be easier if you set up the table - do you know how to set up the two-way table?

Answer 14

no?

Answer 15

this site will likely help - it gives an explanation of how they work, and how to set them up.

http://mathbitsnotebook.com/Algebra1/StatisticsReg/ST2TwoWayTable.html

Answer 16

once you have it set up we'll move on!

Answer 17

ok

Answer 18

need a hint, or is it working?

Answer 19

@wilsondanielle

Answer 20

not quite! let me show you how I set it up, and then you can plug in the numbers.

Answer 21

oh ok

Answer 22

ok ill try to set it up

Answer 23

ok! no rush. Let me know if you need more hints.