The figure shows a lucky wheel. (a)  Find the probability that the pointer stops at the shaded region for 8 times if the wheel is turned for 18 times. (b)  Find the probability that the pointer stops at the shaded region at most once if the wheel is turned for 5 times. (c) Find the mean number of times that the pointer stops at the shaded region if the wheel is turned for 200 times. (Give your answers correct to 3 significant figures if necessary.)

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