The correct size of a nickel is 21.21 millimeters. Based on
that, the data can be summarized into the following
table:
Too Small | Too Large | Total | |
---|---|---|---|
Low Income | 18 | 22 | 40 |
High Income | 19 | 16 | 35 |
Total | 37 | 38 | 75 |
Based on this data: (give your answers to parts
a-c as fractions, or decimals to at least 3 decimal places. Give
your to part d as a whole number.)
a) The proportion of all children that drew the nickel too small
is: 37/75
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 6 children are chosen, the probability that exactly 3 would
draw the nickel too small is:
c) If 6 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
more than drew the nickel too small
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