The daily afternoon temperature measured in degrees Celsius in the city Patliputra in the first

week of July is modelled by a Gaussian (36, 2) random variable. Tulsi's household (in Patliputra)

is five times as likely to turn on their air conditioner if the afternoon temperature exceeds 37C

than if it is below 37. Tulsi goes home in the afternoon and finds that the AC has been turned on.

What is the probability that the afternoon temperature that day exceeds 37C?