Use bayes theorem to find the probability that a 0 was


A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.9, and the probability that it is received incorrectly (as a 1) is 0.1. When a 1 is sent, the probability that it is received correctly is 0.8, and the probability that it is received incorrectly (as a 0) is 0.2.

a) Find the probability that a 0 is received.

b) Use Bayes' theorem to find the probability that a 0 was transmitted, given that a 0 was received.

Request for Solution File

Ask an Expert for Answer!!
Mathematics: Use bayes theorem to find the probability that a 0 was
Reference No:- TGS01551727

Expected delivery within 24 Hours