Question

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%

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%