In this section you learned the basics of probability.
In this section you learned the basics of probability.
What is the definition of “probability”?
Given that definition, explain how you know that you must have done something incorrectly if you compute a probability and get an answer of 32/15?
Use your TI84 calculator to simplify the fraction 1592/6898.
What are the two interpretations of P(E) =
1. There is a k% ______that the probability will occur
2. If we perform __an experiment a large number of times, we expect k% probability of occurance
In this section we learned how to compute empirical probabilities. These are estimates for actual probabilities. An empirical probability is simply the fraction of times we saw the outcome we were interested in seeing. What “law” tells us that the more data we collect, the closer this estimate tends to get to the actual probability?
Fill in the following as you work through your given problems in MyOpenMath.
It is important in this section to use the new probability notation that you learned in this section. That notation will be used for the rest of this course…not just in this section.
1. Fill in the following in the context of this problem:
Individual:
Variable:
Type of variable:
You were asked to compute the probability of ___
Include a fraction answer and a decimal answer rounded to 3 decimal places.
P( orange color ) = _____≈ __________________
event fraction decimal
Interpret the above probability two ways (see bottom of page 112).
1. _____________________there is a 24.4% chance that orange color occurs
2. _________________if we perform an experiment a large number of times , we expect that the probability of occurring orange is 0.244 _____________________________________________________________
2. Fill in the following in the context of your problem:
Individual: _________________________________________
Variable: _______________ _____________________________
Type of variable: qualitative quantitative-discrete quantitative-continuous
You were asked to compute the probability of ___
Include a fraction answer and a decimal answer rounded to 3 decimal places.
P( selecting a pair of defective lenses ) = ______________________ ≈ _________________
event fraction decimal
3. Fill in the following in the context of your problem for the first probability asked for:
Individual:
Variable: ________________________________
Type of variable:
Now compute the 1st probability asked for. Use proper notation. Give a fraction and decimal answer.
P( an indigenous person in prison dies. ) = ______≈ __________________
event fraction decimal
Fill in the following in the context of this problem for the second probability asked for:
Individual:
Variable:
Type of variable: qualitative quantitative-discrete quantitative-continuous
Now compute the 2nd probability asked for. Use proper notation. Give a fraction and decimal answer.
P( a non-indigenous person in prison dies ) = ______________________ ≈ __________________
event fraction decimal
Now compare and discuss what these numbers mean.
4. Fill in the following in the context of your problem:
Individual:
Variable: __ ___________ _______________________________
Type of variable:
You were asked to compute the probability of ____
Include a fraction answer and a decimal answer rounded to 3 decimal places.
P( ) = ___________≈ ____
event fraction decimal
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