Now you can apply the Binomial Theorem to binomial probabilities. To find the full probability distribution for a binomial experiment, expand the binomial
| 4 correct | 3 correct | 2 correct | 1 correct | 0 correct | |||||
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| = 0.0016 | + | 0.0256 | + | 0.1536 | + | 0.4096 | + | 0.4096 |
You can display the distribution of binomial probabilities as a graph.
Problem 3 Applying Binomial Probability
Manufacturing Each hour at a cell phone factory, Quality Control (QC) tests the durability of four randomly selected phones. If more than one fails, QC rejects the entire production for that hour. If in one hour, 95% of the phones made are acceptable, what is the probability that QC rejects that hour's phone production?
Think
What is a “success” in one trial of this binomial experiment?
Success in this experiment means that a phone fails the test.
Write the binomial expansion of
There is about a 1.4% chance that QC will reject the phones produced in the last hour.
✓ Got It?
- A multiple-choice quiz has five questions. Each question has four answer choices. If you guess every answer, what is the probability of getting at least three correct?
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions