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(a)(i) 0.76

please check it and inform.

A question can either be from from the topics covered or from the uncovered topics.

If it is from the covered topics, probability = 0.7 and it will be answered correctly.

If it is from uncovered topics, its probability = 1-0.7=0.3; probability of its success = 1/5.

Hence, probability of its being correct = 0.3*(1/5) = 0.06

Hence, overall probability of being correct = 0.7+0.06 = 0.76

Let me try next part.

(ii) 75*0.76 = 57

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