1 Consider the following PCFG for simple verb phrases: 0.1: VP Verb 0.2: VP Copula Adjective ->...

1 Consider the following PCFG for simple verb phrases:

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0.1: VP Verb 0.2: VP Copula Adjective -> 0.5: VP Verb the Noun 0.2: VP VP Adverb 0.5 Verb is 0.5 Verb shoots -> 0.8: Copula is 0.2 Copula seems 0.5 Adjective unwell 0.5 Adjective well 0.5 Adverb well 0.5 Adverb badly 0.6: Noun duck 0.4: Noun well a. Which of the following have a nonzero probability as a VP? (i) shoots the duck well well well (ii) seems the well well (iii) shoots the unwell well badly b. What is the probability of generating "is well well"? c. What types of ambiguity are exhibited by the phrase in (b)? d. Given any PCFG, is it possible to calculate the probability that the PCFG generates a string of exactly 10 words?