A research team wants to examine the relationship between health status and income among the adult patients of a hospital.

They randomly sampled 2000 adult patients, and surveyed their income. The first, second, and third quartiles are $35700, $53000, and $82400. The researchers also classified these patient's health status into poor, fair, and good.

We know that 265 of the patients in the first income quartile have poor health; 185 in the second income quartile have poor health; 120 in the third quartile have poor health; and 30 in the fourth quartile have poor health.

What is the probability that a patient who has fair or better health status makes more than the median income