If you DO NOT assume that the number of eggs in a nest follows a normal distribution, what is the probability that a single nest contains fewer than 20 eggs? 0.106 Each week the scientist counts the number of eggs in 100 randomly sampled nests. Assuming that the number of eggs in each nest follows a normal distribution, find the probability that the average number of eggs in those 100 nests is less than 31. 0.433 Each week the scientist counts the number of eggs in 100 randomly sampled nests. Without assuming that the number of eggs in each nest follows a normal distribution, find the probability that the average number of eggs in those 100 nests is less than 31. 0.646 Find the probability that the total number of eggs found in 100 sampled nests is greater than 3,300. 0.354 4 A marine biologist studies the number of eggs found in the nests of an interesting species of octopus. From many past studies she knows that the number of eggs in an individual nest varies with mean 32 and standard deviation 8. If possible, compute each of the following values and select the answer from the provided options (there may be some very minor rounding errors in the provided answers). Assume that the number of eggs in a nest follows a normal distribution. Find the probability that a single nest contains fewer than 20 eggs. 0.067