Occasionally, a machine producing steel tools needs to be reset. The random variable X is the number of resetting in a month. The mean number of resetting needed per month has been found to be 6. Find the probability that:

1. 7 resetting per month are needed. (3 points)

2. Less than 3 resetting per two months are needed. (3 points)

3. More than 4 resetting per two months are needed. (3 points)

4. Zero resetting in half a math (3 points)

5. Find the expected number of resetting for 5 months (2 points)