Neural Signal. A neuron will fire at random at any moment in [0,T], with a probability of p. If up to time t Guessing. Subjects in an experiment are told that either a red or a green light will...

Neural Signal. A neuron will fire at random at any moment in [0,T], with a probability of p. If up to time t <>

Guessing. Subjects in an experiment are told that either a red or a green light will flash. Each subject is to guess which light will flash. The subject is told that the probability of a red light is 0.7, independently of guesses. Assume that the subject is a probability matcher, that is, guesses red with a probability of 0.7 and green with a probability of 0.3.

(a) What is the probability that the subject will guess correctly?

(b) Given that a subject guesses correctly, what is the probability that the light flashed red?