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| Section | Objectives |
|---|---|
| Regression and Modeling | - Linear Relationships
|
| Probability Theory | - Probability Distributions
|
| Statistical Inference | - Hypothesis Testing (Introductory Level)
|
| Descriptive Statistics | - Single Variable Data Analysis
|
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NEW QUESTION # 139
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)