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The probability that exactly 4 out of 5 dolphins are cured is calculated as follows:
P(4 dolphins cured) = (5 choose 4) * (0.98^4) * (0.02^1)
= 5 * 0.922368 * 0.02
= 0.0922376
Therefore, the probability that exactly 4 out of 5 dolphins are cured is 0.0922.