Answer:
Step-by-step explanation:
The given expression is,
It can also be written as,
The exponent product rule of algebra states that, while multiplying two powers that have the same base, the exponents can be added.
As here all the terms have same base i.e d, so applying the rule
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
