Question

Suppose that 27%i of students have their own Amazon account, 14% have their own Disneyt account, and 4% have both their own Amazon and Diseney+ aiccounts Let event Arla student has their own Amaron account] Let event D=fa student has their own Disneyt account! Are events A and D mutually exclusive? Why or wiy not?

Answer 1

Events A and D are not mutually exclusive because there is overlap between the two events, as some students have both their own Amazon and Disney+ accounts.

Step-by-step explanation:

In order to determine if events A and D are mutually exclusive, we need to consider whether they can both occur at the same time. If events A and D are mutually exclusive, it means that if a student has their own Amazon account, they cannot also have their own Disney+ account, and vice versa.

To determine if events A and D are mutually exclusive, we need to look at the given information. We know that 27% of students have their own Amazon account, 14% have their own Disney+ account, and 4% have both. Since there is overlap between the two events (4% have both), events A and D are not mutually exclusive. This means that it is possible for a student to have their own Amazon account and also have their own Disney+ account.

Answer 2

Mutually exclusive events cannot occur at the same time, but since there are students who have accounts in both Amazon and Disney+, events A and D are not mutually exclusive.

Mutually exclusive events

To determine if events A (a student has their own Amazon account) and D (a student has their own Disney+ account) are mutually exclusive, check if they can occur simultaneously, meaning if a student can have both their own Amazon and Disney+ accounts.

Given that 27% of students have their own Amazon account, 14% have their own Disney+ account, and 4% have both, we can analyze the situation.

If a student has both their own Amazon and Disney+ accounts, it means they fall into the intersection of events A and D.

Since 4% of students have both accounts, it implies that these events are not mutually exclusive. In other words, there are students who have both their own Amazon and Disney+ accounts, so events A and D can occur simultaneously.

Mutually exclusive events cannot occur at the same time, but since there are students who have accounts in both Amazon and Disney+, events A and D are not mutually exclusive.