132k views
3 votes
The teachers at a local high school were surveyed. Two of the variables recorded for the housing status and length of service. Housing status was recorded as owning or renting length of service was classified as a new teacher with less than 5 years of service or as a with at least 5 years of service. The following table summarizes the responses. Based o he probability that a randomly selected teacher from this school is a teacher who has les xperience and who owns their own home? Housing status w teacher perienced teacher 1 180 Own 5 75 80 Rent 25 45 70 Total 30 120 150​

1 Answer

7 votes

Final answer:

To find the probability that a randomly selected teacher from the school is less experienced and owns their own home, calculate the fraction of teachers in that category out of the total number of teachers.

Step-by-step explanation:

To find the probability that a randomly selected teacher from the school is a teacher with less experience and who owns their own home, you need to calculate the fraction of teachers who fall into that category out of the total number of teachers.

From the table, there are 180 teachers who are less experienced and own their own home. The total number of teachers in the school is 500. So the probability is:

Probability = Number of less experienced teachers who own home / Total number of teachers

Probability = 180 / 500 = 0.36

Therefore, the probability that a randomly selected teacher from this school is a teacher with less experience and who owns their own home is 0.36, or 36%.

User Liris
by
8.3k points