Question

Determine whether the following events are independent or dependent. A college student is chosen at random. The events are "born on a Sunday" and "taking a statistics class."

Could you determine whether these events are independent or dependent and explain your reasoning?

Answer 1

The events of being born on a Sunday and taking a statistics class are independent.

Step-by-step explanation:

The events of being born on a Sunday and taking a statistics class are independent events.

In order to determine if two events are independent, we need to show that either the probability of the intersection of the two events is equal to the product of their individual probabilities, or the conditional probability of one event given the other is equal to the probability of that event.

Let's denote event S as being born on a Sunday and event T as taking a statistics class.

We can see that being born on a Sunday does not have any impact on the probability of taking a statistics class.

Similarly, taking a statistics class does not affect the probability of being born on a Sunday. Therefore, these events are independent.