Question

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. Owns a cellphone Does not own a cellphone Total Owns a PS4 133 648 781 Does not own a PS4 27 192 219 Total 160 840 1000 Identify the following probability statements. Write your answer as a fraction:

Answer 1

This question is not complete. Find attached the complete question and the figure showing the two way table.

Answer:

a. P(owns a cellphone) = 781/1000

b. P(does not own a PS4) = 421/500

c. P(owns a PS4 U does not own a cellphone) = 377/1000

d. P(owns a PS4 n does not own a cellphone) = 25/158

e. P(owns a PS4 | own a cell phone) =

158/1000

f. P(owns a cellphone | own a PS4) = 781/1000

Step-by-step explanation:

Total number of students = 1000 students

We have two variables,

1. The students who own cellphones

2. The students who own PS4

a. P(owns a cellphone)

From the question and the table, we are told that 781 people own cellphones.

Hence, P(owns a cellphone) = 781/1000

b. P(does not own a PS4)

From the attached table, we can see that the number of students that does not own a PS4 = 842

Hen P(does not own a PS4) = 842/1000 = 421/500

c. P(owns a PS4 U does not own a cellphone) =

First we find the Probability of student that owns a PS4

Number of students that own a PS4 = 158

P(owns a PS4 ) = 158/1000

Number of students that does not own a cell phone = 219

P(does not own a cell phone) = 219/1000

Therefore, P(owns a PS4 U does not own a cellphone) = P(owns a PS4 ) + P(does not own a cell phone)

= 158/1000 +219/1000

= 377/1000

d. P(owns a PS4 n does not own a cellphone) =

From the table, we obtain that as =

25/158

e. P(owns a PS4 | own a cell phone) =

P(owns a PS4 n own a cell phone) ÷ P(own a cell phone)

= P(owns a PS4)

From the table that would give us = 158/1000

f. P(owns a cellphone | own a PS4) =

P(owns a cellphone n own a PS4) ÷ P(own a PS4)

= P(owns a cellphone

From the table, this is given as :

781/1000