Select an adult at random. Let A = person has earned an advanced degree (masters or PhD) and T = person's career is teaching. Rank the following proba

Braxton Pugh

Braxton Pugh

Answered question

2021-05-12

Select an adult at random. Let A = person has earned an advanced degree (masters or PhD) and T = person's career is teaching. Rank the following probabilities from smallest to largest. Justify your answer. P(A)P(T)P(A∣T)P(T∣A)

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-05-13Added 83 answers

If you randomly select an adult, then you are more likely to select a person that has earned an advanced degree than a person who is teaching (since there are a lot less tenchers than people with an advanced degree).
P(A) > P(P)
Most of the tenchers have an advanced degree (especially in high schools universities) and thus if you have know that a person is a teacher, then this person is morelikely to have an advanced degree compared to the proportion of people with advanced degrees in the general population.
P(AIT) > P(A)
We expect people with advanced degrees to be more likely to be teachers than people in general (because you need a, degree to be allowed to teach).
P(E|A) > P(E)
Among the population of people with advanced degrees, most of them will not be teachers and we suspect that there will be a smaller proportion of teachers among the population of people with advanced degrees than the proportion of people with advanced degrees. In other words, we will be less likely to select a teacher among those with advanced degrees than we are to select somebody with an advanced degree.
P(A) > P(E|A)
Combining these four inequalities, we then obtain:
P(T) < P(TIA) < P(A) < P(AIT)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?