Understanding Binomial Distribution with Desmos

This lesson demonstrates how to use Desmos to graph a binomial distribution and calculate probabilities. It begins by explaining the characteristics of a binomial experiment, such as fixed trials, two possible outcomes, and independent trials. An example using a fair coin toss is provided, followed by a step-by-step guide on graphing the distribution in Desmos. The video concludes with calculating probabilities for different scenarios using the graph.

What is a key characteristic of a binomial experiment?

• The probability of success changes with each trial.

• There is a fixed number of trials.

• The trials are dependent on each other.

• There are multiple possible outcomes for each trial.

In a binomial experiment, what does the variable 'P' represent?

• The probability of success

• The probability of failure

• The number of trials

• The total number of outcomes

In the coin toss example, what is the probability of getting a head?

• 75%

• 50%

• 100%

• 25%

What is the first step in graphing a binomial distribution using Desmos?

• Enter the number of successes

• Click on the zoom fit button

• Enter the number of trials and success probability

• Select a color for the graph

How can you adjust the view of the graph in Desmos?

• By clicking the zoom fit button

• By changing the color of the graph

• By increasing the number of trials

• By entering a new success probability

What does the cumulative probability feature in Desmos help you find?

• The exact number of successes

• The total number of trials

• The probability of a range of outcomes

• The probability of a single outcome

What is the probability of getting 30 or more heads in the example?

• 0.555 or 55.5%

• 0.042 or 4.2%

• 0.060 or 6%

• 0.101 or 10.1%

How do you find the probability of getting exactly 30 heads using Desmos?

• Set min to 30 and max to 50

• Set min to 0 and max to 30

• Set both min and max to 30

• Set min to 25 and max to 35

What is the probability of getting between 25 and 35 heads?

• 0.555 or 55.5%

• 0.839 or 83.9%

• 0.042 or 4.2%

• 0.101 or 10.1%

What is the probability of getting 28 or fewer heads?

• 0.042 or 4.2%

• 0.101 or 10.1%

• 0.555 or 55.5%

• 0.839 or 83.9%