Suppose that the birth weight of children follows a normal distribution with a mean of 3.0 kg and standard deviation of 0.5 kg. 1. If XXXXXXXXXXchildren are born, what is the expected number of...

Suppose that the birth weight of children follows a normal distribution with a mean of 3.0 kg and standard deviation of 0.5 kg.

1. If 10 000 children are born, what is the expected number of children whose birth weight is less than 2.0 kg?

2.If a sample of 5 children is selected at random, what is the the probability that the sample mean is less than 2.0 kg.