first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 3 girls? at most 3 girls?
Questions
1. The Jones family was one of the first to come to the U.S. They had 5 children. Assuming that the
at least 3 girls?
at most 3 girls?
2. A high school baseball player has a 0.168 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 2 hits in the game?
3. 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 | 12 | 28 | 40 |
| High Income | 25 | 10 | 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:
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 2 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 90 children are chosen at random, it would be unusual if more than drew the nickel too small
n = 5 , p = 0.5
Let X be the number of child being a girl.
p be the probability of child being a girl.
X ~ Binomial(n=5, p=0.5)
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