Coded mesages are sent during wartime using Morse code that uses \"DOTS\" and \"

ID: 3381575 • Letter: C

Question

Coded mesages are sent during wartime using Morse code that uses "DOTS" and "DASHES" which are known to occur in the proportion 7:8, that is:

P(DOT sent) = 7/15 and P(DASH sent) = 8/15

However there is interference on the transmission line causing errors in the receiving transmission. Thus,

P(DASH received given that DOT sent) = 1/9 and P(DOT received given that DASH was sent) = 2/9.

Use Bayes' Theorem to find that probability that DOT received was indeed sent as a DOT. That is, find P(DOT sent given that DOT is received).

Coded mesages are sent during wartime using Morse code that uses "DOTS" and "