question 4 34% of ua students are known to use macbooks. 72% are known to use iphones. assume the…

question 4 34% of ua students are known to use macbooks. 72% are known to use iphones. assume the probability of intersection is 29%. a student is selected at random and questioned about their technology usage. what is the probability of the student not using a macbook? 34% 29% 66% 72%

question 4 34% of ua students are known to use macbooks. 72% are known to use iphones. assume the probability of intersection is 29%. a student is selected at random and questioned about their technology usage. what is the probability of the student not using a macbook? 34% 29% 66% 72%

Answer

Explanation:

Step1: Identify the probability of using a MacBook

Let (P(M)) be the probability of using a MacBook. Given that (34%) of students use Mac - Books, so (P(M)=0.34).

Step2: Use the formula for the probability of the complement

The probability of an event (A) not occurring, denoted as (P(\overline{A})), is given by (P(\overline{A}) = 1 - P(A)). Here, the event (A) is using a MacBook. So the probability of not using a MacBook (P(\overline{M})) is (P(\overline{M})=1 - P(M)). Substitute (P(M) = 0.34) into the formula: (P(\overline{M})=1 - 0.34=0.66) or (66%).

Answer:

66%