Understanding Binomial Distribution

This video tutorial explains how to find the mean and standard deviation of a binomial distribution. It uses a scenario where 3% of a population has a genetic mutation, and 800 people are randomly selected. The mean is calculated as n times p, where n is 800 and p is 0.03, resulting in a mean of 24. The tutorial demonstrates how to verify this using Desmos. It also covers calculating the standard deviation using the formula involving the square root of n times p times (1-p), and verifies the result using Desmos, arriving at approximately 4.825.

What percentage of the population is affected by the genetic mutation discussed in the lesson?

• 10%

• 1%

• 3%

• 5%

How do you calculate the mean in a binomial distribution?

• n - p

• n + p

• n / p

• n * p

If 800 people are selected, what is the expected number of people with the genetic mutation?

• 24

• 40

• 32

• 16

Which tool is used to verify the mean calculation in the lesson?

• Desmos

• Google Sheets

• Excel

• Python

What is the first step in using Desmos to find the mean?

• Enter the number of trials

• Click on 'Graphing Calculator'

• Select 'Statistics'

• Choose 'Algebra'

What is the purpose of graphing the binomial distribution in Desmos?

• To find the median

• To visualize the distribution

• To calculate the mean

• To determine the mode

What is the formula for calculating the standard deviation in a binomial distribution?

• sqrt(n * p * (1 - p))

• p * (1 - p)

• n / p

• n * p * (1 - p)

What is the approximate standard deviation for the genetic mutation in a group of 800 people?

• 3.825

• 4.825

• 5.825

• 6.825

Which function in Desmos is used to calculate the standard deviation?

• stdev

• mode

• variance

• mean

What is the probability of failure in the context of this lesson?

• 0.93

• 0.97

• 0.03

• 0.07