Show your work.simplify Subscribers toABC company perform security transactions at the rate of 8 trades per month. Assume that one of the subscribers performs transactions at this rate and the probability of a transaction for any two months is the same and the number of transactions in one month is independent of the number of transactions in another month.

1. What is the probability that one security transaction will be conducted in one month? (2 pts)

2. What is the probability that at least 5 and at most 12 security transactions will be conducted in one month? (2 pts)

3. What is the probability that at least 4 security transactions will be conducted in one month? (2 pts)

4. What is the probability that more than two but fewer than seven security transactions will be conducted in one month? (2 pts)