In Pennsylvania’s Cash 5 lottery, balls are numbered 1 to 43. Five balls are selected randomly, without replacement. The order in which the balls are selected does not matter. To win, your numbers must match the five selected. Determine your probability of winning Pennsylvania’s Cash 5 with one ticket.
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
4. Probability
Basic Concepts of Probability
Struggling with Statistics?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
In the context of probability experiments, which of the following best describes an variable?
A
A variable that always remains constant throughout the experiment
B
A variable that is measured as the outcome of an experiment
C
A variable whose value is manipulated to observe its effect on another variable
D
A variable that is dependent on the outcome of another variable
Verified step by step guidance1
Understand the context of the problem: it is asking about the definition of an independent variable in probability experiments or statistical studies.
Recall that in experiments, variables are classified mainly as independent or dependent variables. The independent variable is the one that the experimenter changes or controls to see how it affects another variable.
The dependent variable, on the other hand, is the outcome or response that is measured to see the effect of changes in the independent variable.
Analyze each option given: the independent variable is not a constant (it changes), it is not the measured outcome (that's the dependent variable), and it is not dependent on another variable (that would be the dependent variable).
Conclude that the best description of an independent variable is: 'A variable whose value is manipulated to observe its effect on another variable.'
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