The correct size of a nickel is 21.21 millimeters. Children of low- and high- income households were asked to draw a nickel of actual size. Based on that, the data can be summarized into the following table:

Too Small Too Large Total Low Income 13 27 40 High Income 25 10 35 Total 38 37 75

Based on this data: (give your answers to parts a-c as fractions, or decimals to at least 4 decimal places. Give your answer to part d as a whole number.)

a) The proportion of all children that drew the nickel too small is:

Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this section apply to selections from the population of ALL children.

b) If 5 children are chosen, the probability that exactly 3 would draw the nickel too small is:

c) If 5 children are chosen at random, the probability that at least one would draw the nickel too small is:

d) If 110 children are chosen at random, it would be unusual if or more drew the nickel too small. (Assume unusual is more than 2 SD from the mean.)