Which of the following statements correctly verifies that the function for , , , and otherwise is a probability mass function?
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
If an event has a probability of , how likely is it to occur?
A
It is impossible for the event to occur.
B
It is unlikely to occur.
C
It is equally likely to occur or not occur.
D
It is very likely to occur.
Verified step by step guidance1
Understand that the probability of an event is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.
Identify the given probability: \(\frac{3}{4}\), which is equivalent to 0.75 in decimal form.
Interpret the probability value: since 0.75 is closer to 1 than to 0, it indicates a high likelihood of the event occurring.
Compare the probability to common probability ranges: values above 0.5 generally mean the event is more likely to occur than not.
Conclude that because \(\frac{3}{4}\) is significantly greater than 0.5, the event is very likely to occur.
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