S: Statistics & Probability

Statistics & Probability

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The Statistics and Probability domain covers Interpreting Categorical and Quantitative Data, Making Inferences and Justifying Conclusions, Conditional Probability and the Rules of Probability, and Using Probability to Make Decisions. Data interpretation spans summarizing distributions, fitting models, and reading two-way frequency tables. Probability work moves from basic rules to conditional probability, independence, and expected value applied to real decisions.

S.CPConditional Probability and the Rules of ProbabilityS.ICMaking Inferences and Justifying ConclusionsS.IDInterpreting Categorical and Quantitative DataS.MDUsing Probability to Make Decisions
Example Problems
How many unique ways are there to arrange the letters in the word BALLOON?
Priya was testing versus with a sample of 12 observations. Her test statistic was . Assume that the conditions for inference were met.

What is the approximate
P-value for Priya's test?
Round your answer to the nearest thousandth.
An ornithologist wants to look at the relationship between the breadth of peregrine falcon eggs and the mass of the falcon chicks that hatch from them. The data show a linear pattern with the summary statistics shown below:

meanstandard deviation
x = egg breadth (mm)
y = chick's mass (g)


Find the equation of the
least-squares regression line for predicting the chick's mass from the breadth of the egg, in the form .
Round your entries to the nearest hundredth.
A fair coin is flipped 5 times. Let be the number of heads. What is the expected value of ?
Two fair six-sided dice are rolled.

What is the
probability that both dice show an even number?
Round your answer to two decimal places.
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