Question

There is a 5% probability that a randomly selected employed person has more than one job. there is a 50% probability that a randomly selected employed person is male, given that the person has more than one job. what is the probability that a randomly selected employee is a man with more than one job? would you consider the that outcome "unusual"?

Answer 1

The probability that a randomly selected employee is a man with more than one job is 2.5%. Whether this outcome is considered unusual or not depends on the context.

Step-by-step explanation:

To find the probability that a randomly selected employee is a man with more than one job, we can use conditional probability. We know that the probability of having more than one job is 5% and the probability of being male given that the person has more than one job is 50%. We multiply these two probabilities together to get the probability of being a man with more than one job: 5% * 50% = 2.5%. Therefore, the probability that a randomly selected employee is a man with more than one job is 2.5%.

Whether this outcome is considered unusual or not depends on the context and the definition of unusual. If we consider the overall probability of a randomly selected employee being a man, and the probability of having more than one job, the probability of being a man with more than one job is relatively low. However, if we consider only the subgroup of employed people with more than one job, a 50% probability of being male is not necessarily unusual