Understanding Binomial Probability Distribution

The video tutorial explains how to calculate binomial probabilities using Desmos. It starts with a problem involving the probability of left-handed people in a group of four. The tutorial guides through using Desmos to graph the binomial distribution and find probabilities for different scenarios: none, two, and at most three left-handed individuals. The process involves setting up the distribution, using Desmos functions, and interpreting the results.

What is the probability of success in the given problem?

• 0.5

• 0.1

• 0.09

• 0.2

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How many trials are conducted in the problem?

• 5

• 4

• 3

• 2

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Which tool is used to graph the binomial probability distribution?

• Python

• Google Sheets

• Desmos

• Excel

What is the probability that none of the selected people are left-handed?

• 0.5

• 0.0402

• 0.6857

• 0.9999

What is the probability that exactly two people are left-handed?

• 0.5

• 0.6857

• 0.9999

• 0.0402

How can you find the probability for exactly two left-handed people using Desmos?

• Click on the point where x equals 1

• Click on the point where x equals 2

• Click on the point where x equals 3

• Click on the point where x equals 0

What does 'at most three are left-handed' mean in terms of probability?

• More than 3 people are left-handed

• 0, 1, 2, or 3 people are left-handed

• Exactly 3 people are left-handed

• Only 3 people are left-handed

How can you find the probability for at most three left-handed people using Desmos?

• Sum the probabilities for x = 2 and 3

• Sum the probabilities for x = 0 and 1

• Sum the probabilities for x = 1, 2, and 3

• Sum the probabilities for x = 0, 1, 2, and 3

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What is the probability that at most three people are left-handed?

• 0.5

• 0.9999

• 0.0402

• 0.6857

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What is one benefit of using Desmos for binomial probabilities?

• It is a free tool

• It is the only tool available for such calculations

• It calculates probabilities faster than a calculator

• It provides a graph of the distribution

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