Show that, if you sum up the probabilities of all sentence of length m under a bigram language model, this sum is exactly 1 (i.e. the model defines a proper probability distribution). Assume a vocabulary size of V. wi,w2,.. .wn w1,w2,...wn Hint: Use induction over the the sentence length Comment: This property actually holds for any n-gram model, but you only have to show it for bigrams. Show that, if you sum up the probabilities of all sentence of length m under a bigram language model, this sum is exactly 1 (i.e. the model defines a proper probability distribution). Assume a vocabulary size of V. wi,w2,.. .wn w1,w2,...wn Hint: Use induction over the the sentence length Comment: This property actually holds for any n-gram model, but you only have to show it for bigrams