Probability and Binomial Distribution Concepts

The video tutorial explains how to work with a binomial distribution where the number of trials is two and the probability of success is 0.7. It covers constructing a probability distribution table and calculating probabilities for different values of y using factorials and combinations. The results are verified using Desmos, and additional probability scenarios are explored.

What is the random variable y defined as in the problem setup?

• A uniform distribution

• A Poisson distribution

• A binomial distribution

• A normal distribution

How many trials are specified for the binomial distribution?

• One

• Two

• Three

• Four

What is the probability of success p in the given binomial distribution?

• 0.5

• 0.6

• 0.7

• 0.8

What is the probability that y equals 0?

• 0.09

• 0.42

• 0.49

• 0.30

What is the probability that y equals 1?

• 0.49

• 0.42

• 0.09

• 0.30

What is the probability that y equals 2?

• 0.49

• 0.42

• 0.09

• 0.30

Which tool is used to verify the calculated probabilities?

• Python

• Excel

• R

• Desmos

What is the probability that y is less than -2?

• 1

• 0

• 0.09

• 0.42

What is the probability that y is less than or equal to 3?

• 0.42

• 0.49

• 1

• 0.09

What is the probability that y is less than or equal to 1?

• 1

• 0.51

• 0.42

• 0.09