Question: 2. Please answer the following a) Consider a learning task in which each instance is a Boolean vector of length n . Namely, the exanmples/instances

2. Please answer the following

a) Consider a learning task in which each instance is a Boolean vector of length n. Namely, the exanmples/instances are represented by n Boolean attributes. What is the size of the Instance Space X? Explain your answer.

b) Assume the hypothesis space H for learning is the collection of ALL Boolean functions with n Boolean variables. How many semantically distinct bypotheses do we have in H? Explain your answer. In particular, when n = 3, what is the size of H?

c) Write down ALL hypothses in Hcon (assuming we have n = 2 Boolean variables x1 and x2), where Hcon is the collection of Boolean Conjunctive Concepts - namely, each hypothesis in h is a Conjunction (logical "and") of Boolean literals.

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