Understanding Uniform Continuous Random Variables

This video tutorial explains how to determine the probability of a uniform continuous random variable by hand and verify the result using Desmos. It covers the concept of uniform distribution, the probability density function, and the calculation of the probability that a random variable x is greater than 9. The tutorial also demonstrates how to use Desmos to graph the distribution and verify the calculated probability.

What is the range of the uniform distribution given in the video?

• 0 to 10

• 4 to 18

• 5 to 15

• 10 to 20

What shape does the probability density function of a uniform distribution take?

• Diagonal line

• Horizontal line

• Curved line

• Vertical line

How is the height of the probability density function determined for a uniform distribution?

• Difference of the range

• Sum of the range

• Range divided by 1

• 1 divided by the range

What is the base of the rectangle used to find the probability that x is greater than 9?

• 9 minus 4

• 18 minus 9

• 18 minus 4

• 9 minus 0

What is the probability that x is greater than 9 in fractional form?

• 1/14

• 9/14

• 7/14

• 5/14

How do you convert the probability 9/14 to a decimal?

• Multiply 9 by 14

• Subtract 9 from 14

• Divide 9 by 14

• Add 9 and 14

What is the decimal representation of the probability that x is greater than 9?

• 0.7143

• 0.6429

• 0.5714

• 0.4286

Which tool is used to verify the probability calculation?

• Python

• Calculator

• Excel

• Desmos

What is the purpose of using the 'zoom fit' button in Desmos?

• To change the distribution type

• To calculate probabilities

• To adjust the graph to fit the screen

• To change the graph type

What is the final verified probability that x is greater than 9?

• 0.7500

• 0.5000

• 0.6429

• 0.2500