Question

You were asked to find the probability that a customer is not female or does not live with their parents from the table given below. What is the probability? a) 0.22 b) 0.45 c) 0.53 d) 0.78

Answer 1

The probability that a customer is not female or does not live with their parents is 0.78 .

Thus the correct option is (D).

Step-by-step explanation:

To find the probability that a customer is not female or does not live with their parents, we can use the complement rule. Let A be the event that a customer is female, and B be the event that a customer lives with their parents. The probability of the complement of event A (not female) is denoted as
`\( P(A') \)`, and the probability of the complement of event B (does not live with parents) is denoted as
`\( P(B') \)`.

The complement rule states that
`\( P(A' \cup B') = 1 - P(A \cap B) \)`, where
`\( \cup \)` denotes the union of events and
`\( \cap \)`denotes the intersection. Therefore, the probability of a customer not being female or not living with their parents is given by
`\( P(A' \cup B') = 1 - P(A \cap B) \)`.

From the given options, the correct answer is 0.78, corresponding to option d.

Thus the correct option is (D).