Question

5 pts

Question 1
A survey of 1000 high school students found that 781 students own a cell phone and 133 of those students who own a cell phone also own a PS4. 192 students don't
own a cell phone or a PS4. Fill in the following 2-way table based on this information

Answer 1

The complete 2-way table is given below.

Explanation:

Denote the events as follows:

C = a high school student owns a cell phone

NC = a high school student does not owns a cell phone

P = a high school student owns a PS4

NP = a high school student does not owns a PS4.

The information provided is:

P NP Total

C 133 ___ 781

NC ___ 192 ___

Total ___ ___ 1000

Complete the table as follows:

n (C ∩ NP) = n (C) - n (C ∩ P)

= 781 - 133

= 648

n (NC) = N - n (C)

= 1000 - 781

= 219

n (NC ∩ P) = n (NC) - n (NC ∩ NP)

= 219 - 192

= 27

n (P) = n (C ∩ P) + n (NC ∩ P)

= 133 + 27

= 160

n (NP) = N - n (P)

= 1000 - 160

= 840

The complete 2-way table is:

P NP Total

C 133 648 781

NC 27 192 219

Total 160 840 1000