Question

About 7.8% of employed adults hold more than one job (a multiple-job holder). Of the multiplejob holders, 29.3% have only part-time jobs. What is the probability that a randomly selected employed adultis a multiple-job holder, and they only have part-time jobs? Would it be unusual for a randomly selected employed adult to be a multiple-job holder and only have part-time jobs?

Answer 1

The probability that a randomly selected employed adult is a multiple-job holder with only part-time jobs is about 2.2854%, which is considered unusual as it is below 5%.

Step-by-step explanation:

The probability that a randomly selected employed adult is a multiple-job holder, and they only have part-time jobs is obtained by multiplying the probability of being a multiple-job holder by the probability that they have only part-time jobs. Given that 7.8% of employed adults hold more than one job and 29.3% of these have only part-time jobs, the combined probability is 0.078 * 0.293, which equals approximately 0.022854 or about 2.2854%.

It would be considered unusual for a randomly selected employed adult to be a multiple-job holder and only have part-time jobs since this event has a low probability (less than 5%). Statistical practices commonly consider events with probabilities lower than 5% to be unusual.