Question

A university organization shows that 102 of the university's 253 assistant professors were women, along with 92 of the 301 associate professors and 72 of the 350 full professors.

What is the probability that a randomly chosen university professor (of any rank) is a woman? (Round your answer to four decimal places.)

Answer 1

So, the probability is P=0.2942.

Explanation:

We know that a university organization shows that 102 of the university's 253 assistant professors were women, along with 92 of the 301 associate professors and 72 of the 350 full professors.

We calculate how many women work at university:

102+92+72=266

We calculate the total number of employees at the university:

253+301+350=904

We calculate the probability that a randomly chosen university professor (of any rank) is a woman.

`P=(266)/(904)\\\\P=0.2942\\`

So, the probability is P=0.2942.