Q74

MCQ2 marks, −0.5

In a communication network, a packet of length $L$ bits takes link $L_1$ with a probability of $p_1$ or link $L_2$ with a probability of $p_2$ . Link $L_1$ and $L_2$ have bit error probability of $b_1$ and $b_2$ respectively. The probability that the packet will be received without error via either $L_1$ or $L_2$ is

(A)

$(1 - b_1)^Lp_1 + (1 - b_2)^Lp_2$

(B)

$[1 - (b_1 + b_2)^L]p_1p_2$

(C)

$(1 - b_1)^L (1 - b_2)^Lp_1p_2$

(D)

$1 - (b_1^Lp_1 + b_2^Lp_2)$

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