PLEASE HELPP!!! What is the sample space for flipping 4 fair coins?
1 answer:
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Answer:
a) 0.6667 = 66.67% probability that a 0 is received.
b) 0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
(a) Find the probability that a 0 is received.
0.9 of 2/3(0 received when a 0 is sent).
0.2 of 1/3(0 received when a 1 is sent). So
0.6667 = 66.67% 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.
Event A: 0 received
Event B: 0 transmitted.
0.6667 = 66.67% probability that a 0 is received, which means that
A zero is transmitted two-thirds of time, which means that
When a 0 is sent, the probability that it is received correctly is 0.9, which means that
So
0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.