Question: Consider that each of the following random variables has a binomial distribution. Find the mean and the standard deviation of their distributions.

1. The number of heads obtained in 678 flips of a balanced coin.
2. The number of 5's obtained in 724 rolls of a balanced die.
3. The number of defectives in a sample of 640 parts made by a machine, when the probability is 0.04 that any one of the parts is defective.
4. The number of students among 820 interviewed who do not like the food served at the university cafeteria, when the probability is 0.65 that any one of them does not like the food.

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