Binomial Distribution: Bella Cicciona, a fortune teller, claims to be able to predict the sex of unborn children. In fact, on each occasion she is consulted, the probability that she makes a correct prediction is 0.6, independent of any other predic- tion. One afternoon, Bella is consulted by ten expectant mothers. Find the followings: (Round all your answers to 3 decimal places) (a) the probability that her first eight predictions are correct and her last two are wrong. (a) (b) the probability that she makes exactly eight correct predictions. (b) . (c) the probability she makes at least eight correct predictions.

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A: Probability = number of favorable eventstotal number of events