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GATE 2021 · Set-1
Engineering MathematicsProbabilityhardNAT2 marks
A sender (S) transmits a signal, which can be one of the two kinds: H and L with probabilities 0.1 and 0.9 respectively, to a receiver (R). The probability of receiving H at R when H is transmitted is 0.3, and of receiving L at R when H is transmitted is 0.7. The probability of receiving H at R when L is transmitted is 0.8, and of receiving L at R when L is transmitted is 0.2. If the received signal is H, the probability that the transmitted signal was H (rounded to 2 decimal places) is _______________.
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