The World Health Organization has reported that approximately 18.7% of children (< 5 years) living in rural Angola sleep under a bednet.

1. Assume that 90 children are selected at random from this population. Calculate the probability that 27 or more of the children in the sample sleep under a bednet.

2. Assume that 90 children are selected at random from this population. Calculate the exact probability (without using the normal approximation) that less than 13 children in the sample sleep under a bednet