Question

A neuron N is connected with three other neurons N1 , N2, and N3 capable of producing a stimulus by firing, {N1 , N2, N3} −→ N. The probabilities of firing for neurons N1, N2, and N3 are 0.2 each and the actions of these three neurons are simultaneous and mutually independent. Neuron N receives a stimulus if at least one of N1 , N2, and N3 fires.

(a) What is the probability that N receives a stimulus?

(b)Neuron N will fire with probability 0.9 if a stimulus is present and with probability 0.05 if a stimulus is not present. In the context of this problem what is the probability that N fires?

(c) What is the probability that N fires if N1 did not fire?

Answer 1