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AMU MATH 120 Week 4 Discrete Probability Distributions

Master binomial distributions and expected value calculations

Week 4 Distribution Focus

Week 4 covers discrete probability distributions, teaching you to distinguish between discrete and continuous random variables, construct probability distributions, and calculate mean, variance, standard deviation, and expected value. The primary focus is the binomial distribution—learning when to apply it, how to calculate binomial probabilities, and how to find its mean and standard deviation using formulas.

Common Week 4 Mistakes

Students often forget to verify all four binomial conditions before using binomial formulas, or they confuse the binomial probability formula with the mean formula. Another trap is forgetting that probabilities in a discrete distribution must sum to 1. Our materials include a binomial checklist to verify conditions and color-coded formulas distinguishing probability calculations from mean/variance calculations.

Week 4 Preparation Package

You receive complete MyStatLab Homework 4 solutions, binomial distribution tables and calculator instructions, expected value practice problems, and preparation materials for Quiz 2 (Week 4 Critique worth 9% of your grade). We provide forum posts connecting discrete distributions to business applications like quality control and risk analysis.

Frequently Asked Questions

❓How do I know when to use the binomial distribution?

Check four conditions: (1) fixed number of trials, (2) each trial has only two outcomes (success/failure), (3) trials are independent, (4) probability of success is constant. If all four are met, use binomial. Common examples: coin flips, quality control testing, true/false quizzes.

❓What's the difference between binomial probability and binomial mean?

Binomial probability P(X=k) uses the formula with combinations and powers to find the probability of exactly k successes. Binomial mean μ = np simply multiplies number of trials by probability of success. Don't confuse these—one finds a probability, the other finds an average.

❓How should I prepare for Quiz 2?

Quiz 2 covers Weeks 3-4 (probability and discrete distributions) and is worth 9% of your grade. Focus on probability rules, permutations/combinations, and binomial distribution problems. Practice identifying when to use binomial formulas and memorize the mean/variance formulas. We provide practice quizzes matching the actual format.

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