According to a study of 3226 newborn babies in the UK (O' Cathain et al 2002) , birth weight follows a normal distribution with a mean of 3.39 kg, and a standard deviation of 0.55 kg.

1. Find the z-score for a birth weight of 2.78 kg.
2. Find the z-score for a birth weight of 3.82 kg.
3. Find the probability a randomly selected newborn will weigh less than 2.78 kg.
4. Find the probability a randomly selected newborn will weigh more than 3.82 kg.
5. Find the probability a randomly selected newborn will weigh between 2.78 kg and 3.82 kg.
6. Find the probability a randomly selected newborn will weigh less than 2.78 kg or more than 3.82 kg.