Faculty positions in a school district are classified as either teacher or administrator based on primary duties and responsibilities. The table below shows information on the number of national board-certified and not board-certified teachers and administrators

Board-certified Not board-certified
Administrator 17 19
Teacher 13 12

Determine the probability, P(board-certified or teacher), P(board-certified or teacher), that a randomly chosen faculty member is either board-certified or a teacher. Please enter your answer as a decimal, precise to at least four decimal places.

Probabilities are used to determine the chance of an event.

The probability that a randomly chosen faculty member is either board-certified or a teacher is 0.6885

Let:

Board-certified

Teacher

Not board certified

Not teacher

From the table, we have:

The required probability is represented as:

P(board-certified or teacher) P(B or T)

And it is calculated using the following formula:

So, we have:

Hence, the required probability is 0.6885

Read more about probabilities at:

link

42/61

Step-by-step explanation:

(17+13+12)/(17+13+12+19)

= 42/61 or 0.6885

answer: the equation matches the regression

step-by-step explanation: