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1. Introduction to Statistics(0)

Intro to Stats
(0)

Intro to Collecting Data
(0)

Sampling Methods
(0)

2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
(0)

Frequency Distributions
(0)

Histograms
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Bar Graphs and Pareto Charts
(0)

Pie Charts
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Frequency Polygons
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Dot Plots
(0)

Stemplots (Stem-and-Leaf Plots)
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
(0)

Median
(0)

Mode
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Standard Deviation
(0)

Interpreting Standard Deviation
(0)

Percentiles & Quartiles
(0)

Boxplots
(0)

4. Probability(0)

Basic Concepts of Probability
(0)

Complements
(0)

Addition Rule
(0)

Multiplication Rule: Independent Events
(0)

Introduction to Contingency Tables
(0)

Multiplication Rule: Dependent Events
(0)

Bayes' Theorem
(0)

Fundamental Counting Principle
(0)

Counting
(0)

5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
(0)

Binomial Distribution
(0)

Poisson Distribution
(0)

Hypergeometric Distribution
(0)

6. Normal Distribution & Continuous Random Variables(0)

Uniform Distribution
(0)

Standard Normal Distribution
(0)

Non-Standard Normal Distribution
(0)

7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
(0)

Introduction to Confidence Intervals
(0)

Confidence Intervals for Population Mean
(0)

Determining the Minimum Sample Size Required
(0)

8. Sampling Distributions & Confidence Intervals: Proportion(0)

Sampling Distribution of Sample Proportion
(0)

Confidence Intervals for Population Proportion
(0)

Chi Square Distribution
(0)

Confidence Intervals for Population Variance
(0)

9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
(0)

Performing Hypothesis Tests: Means
(0)

Performing Hypothesis Tests: Proportions
(0)

Performing Hypothesis Tests: Variance
(0)

Critical Values and Rejection Regions
(0)

Link Between Confidence Intervals and Hypothesis Testing
(0)

Type I & Type II Errors
(0)

10. Hypothesis Testing for Two Samples(0)

Two Proportions
(0)

Two Means - Unknown, Unequal Variance
(0)

Two Means - Unknown, Equal Variance
(0)

Two Means - Known Variance
(0)

Two Means - Matched Pairs (Dependent Samples)
(0)

Two Variances and F Distribution
(0)

11. Correlation(0)

Scatterplots & Intro to Correlation
(0)

Correlation Coefficient
(0)

12. Regression(0)

Linear Regression & Least Squares Method
(0)

Residuals
(0)

Coefficient of Determination
(0)

Inferences for Slope
(0)

Prediction Intervals
(0)

Quadratic Regression
(0)

13. Chi-Square Tests & Goodness of Fit(0)

Goodness of Fit Test
(0)

Contingency Tables
(0)

Independence Tests
(0)

Homogeneity Tests
(0)

14. ANOVA(0)

Introduction to ANOVA
(0)

Multiple Comparisons: Tukey Test
(0)

Multiple Comparisons: Tukey-Kramer Test
(0)

Multiple Comparisons: Bonferoni Test
(0)

Two-Way ANOVA
(0)

5. Binomial Distribution & Discrete Random Variables

Binomial Distribution

5. Binomial Distribution & Discrete Random Variables

Binomial Distribution: Videos & Practice Problems

Video Lessons Practice Worksheet

Back to all problems

106 of 0

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Problem 106Multiple Choice

A multiple-choice quiz has $6$ questions, each with $4$ answer choices and only one correct answer. If a student guesses on all questions, what is the probability that the student gets exactly $2$ questions correct? Is this event unusual? Explain your reasoning.

$0.297$

This event is not unusual because its probability is greater than $0.05$

$0.297$

This event is unusual because its probability is greater than $0.05$

$0.047$

This event is not unusual because its probability is less than $0.05$

$0.047$

This event is unusual because its probability is less than $0.05$

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Binomial Distribution: Videos & Practice Problems

A multiple-choice quiz has 66 questions, each with 44 answer choices and only one correct answer. If a student guesses on all questions, what is the probability that the student gets exactly 22 questions correct? Is this event unusual? Explain your reasoning.

A multiple-choice quiz has $6$ questions, each with $4$ answer choices and only one correct answer. If a student guesses on all questions, what is the probability that the student gets exactly $2$ questions correct? Is this event unusual? Explain your reasoning.