Statistics on discrete probability with error?

58 Views Asked by At

I need help with this question, am pretty confused on what to do with the error, I can't see how to use it.

enter image description here

1

There are 1 best solutions below

1
On BEST ANSWER

(a) 1 can be observed at the output if: (i) 1 is produced at the source and transmitted correctly OR (ii) 0 is produced at the source and is transmitted incorrectly.

So, Pr[1 at target] = Pr[1 at source]*Pr[transmitted correctly] + Pr[0 at source]*Pr[transmitted incorrectly]

i.e Pr[1 at target] = 0.7*(1-0.2) + 0.3*0.2 = 0.56 + 0.06 = 0.62

(b) Straightforward use of Bayes theorem.