Final answer:
Real numbers can be classified as both rational and irrational. Rational numbers have terminating or repeating decimals, while irrational numbers have non-repeating, non-terminating decimals. To find the probability of an event given another, conditional probability is used, and understanding precision and accuracy is essential in measurements.
Step-by-step explanation:
The question is asking us to classify real numbers as rational or irrational. Rational numbers are those that can be expressed as a fraction of two integers, where the denominator is not zero. They have either terminating decimals or repeating decimal patterns. Irrational numbers, however, cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions. Examples of irrational numbers include π (pi) and the square root of 2.
Considering an option that includes both rational and irrational numbers under the category of real numbers is correct, hence the answer is Both A and B. Real numbers encompass the complete set of rational numbers, including integers, along with all the irrational numbers.
To find P(A/B), which stands for the probability of event A given that event B has occurred, one would need to use the conditional probability formula P(A|B) = P(A ∩ B) / P(B), provided that P(B) ≠ 0.
In the context of statistical decision making, if we conclude that the pass rate for Math 1A is greater than the pass rate for Math 1B when in fact it is less, we have made a type I error. If we conclude the pass rates are the same when they are, indeed, the same, we have made the correct decision.
When examining a target showing measurements, a precise, but inaccurate set would show data points that are close together but away from the target's center. A set that is precise and accurate would have data points clustered tightly around the true value or the center of the target. Lastly, a set that is neither precise nor accurate would have data points that are scattered and not centered around the true value.