Please help me with this matter and provide step by step solution. thank you.

1.In a village power cuts occur randomly at a rate of 3 per year a. Find the probability that in any given year there will be i. exactly 7 power cuts ii. at least 4 power cuts [4] 2. A team of 4 is to be randomly chosen from 3 boys and 5 girls. The random variable X is the number of girls in the team. a. Draw up a probability distribution table for X. b. Given that E(X) = 2, calculate Var(X). [8] 3. Five adults and three children arrange themselves in a straight line. Find the number of ways this can be done if all the children must be together. [3]