Question

18. The teachers at a local high school were surveyed. Two of the variables recorded for the 150 teachers were housing status and length of service. Housing status was recorded as owning or renting your residence, while length of service was classified as a new teacher with less than 5 years of service or as an experienced teacher with at least 5 years of service. The following table summarizes the responses. Based on the responses, what is the probability that a randomly selected teacher from this school is a teacher who has less than 5 years of teaching experience and who owns their own home? Housing status New teacher Experienced teacher Total Own 5 75 80 Rent 25 45 70 Total 30 120 150​

Answer 1

The probability that a randomly selected teacher from the school is a new teacher with less than 5 years of experience and owns their own home is 0.0333, or 3.33%.

Step-by-step explanation:

The question asks for the probability that a randomly selected teacher from the local high school is a new teacher with less than 5 years of teaching experience who owns their own home. Based on the table provided, there are 5 new teachers who own their homes out of a total of 150 teachers surveyed. To calculate the probability, we use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

The number of favorable outcomes is 5 (new teachers who own homes), and the total number of outcomes is 150 (total number of teachers). Substituting these into the formula, we get:

Probability = 5 / 150 = 0.0333 (or 3.33%)