contestada

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

Respuesta :

Answer:

The complete 2-way table is given below.

Step-by-step 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

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