Understanding Binomial Distribution and Probability

This lesson demonstrates how to use Desmos to graph a binomial distribution and calculate probabilities. It covers the probability of women dying from cancer in a sample of 20, using Desmos to visualize and compute probabilities for different scenarios. The video provides step-by-step instructions for setting up the graph and interpreting results, including cumulative probabilities and specific outcomes.

What is the main focus of this lesson?

• Understanding the history of probability

• Graphing a binomial distribution and determining probability

• Using decimals to solve algebraic equations

• Learning about different types of distributions

What does the lesson suggest doing if you need a review of binomial experiment characteristics?

• Watch a different video

• Pause the video and read the characteristics

• Skip to the end of the video

• Search online for more information

Which website is used to graph the binomial distribution in this lesson?

• GeoGebra

• Khan Academy

• Wolfram Alpha

• Desmos

What is the success probability used in the binomial distribution example?

• 0.1833

• 0.333

• 0.833

• 0.1333

How can you change the color of the graph in Desmos?

• By clicking the color palette icon

• By holding the red circle and selecting a new color

• By adjusting the brightness settings

• By typing a color code

How do you find the probability of a specific number of women dying using the graph?

• By calculating manually

• By clicking on the corresponding point on the graph

• By estimating visually

• By using a calculator

What is the probability of 7 or more women dying from cancer out of 20?

• 0.058

• 0.167

• 0.214

• 0.899

What is the cumulative probability of 5 or fewer women dying?

• 0.214

• 0.899

• 0.855

• 0.058

What is the cumulative probability of 2 to 8 women dying?

• 0.167

• 0.058

• 0.899

• 0.214

What is the probability of exactly 4 women dying from cancer out of 20?

• 0.214

• 0.167

• 0.058

• 0.899