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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Basic Numeracy & Algebra | 15% | - Linear equations, inequalities, graphing functions - Arithmetic operations, fractions, decimals, percentages - Exponents, roots, and basic formulas |
| Topic 2: Descriptive Statistics | 25% | - Graphical displays: histograms, boxplots, scatterplots - Types of data: categorical, discrete, continuous - Measures of spread: range, IQR, variance, standard deviation - Measures of center: mean, median, mode |
| Topic 3: Probability Concepts | 20% | - Normal distribution and empirical rule - Probability rules, independent and dependent events - Conditional probability and Venn diagrams - Discrete and continuous probability distributions |
| Topic 4: Correlation & Regression | 20% | - Predictions and limitations of regression - Interpreting slope, intercept, and R-squared - Correlation coefficient and interpretation - Simple linear regression models |
| Topic 5: Inferential Statistics & Study Design | 20% | - Hypothesis testing framework and interpretation - Observational studies vs experiments - Sampling methods and bias - Confidence intervals for means/proportions |
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NEW QUESTION # 152
Probability of heads on 3 coin flips exactly twice?
Answer: B
Explanation:
This is a binomial probability problem because there is a fixed number of independent trials, each trial has two outcomes, and the probability of success is constant. Let success be flipping heads. There are 3 coin flips, and the probability of heads on each flip is 1/2. The event "exactly two heads" can occur in three ordered ways: HHT, HTH, and THH. Each sequence has probability (1/2)(1/2)(1/2) = 1/8. Since there are three favorable sequences, the total probability is 3 × 1/8 = 3/8. Equivalently, use the binomial formula: C(3,2)(1/2)