Understanding Alpha Notation and Probability

The video tutorial explains the concept of alpha notation in probability, where x sub alpha represents a value such that the probability of x being greater than this value is alpha, and the probability of x being less is 1 minus alpha. It uses the example of x sub 0.22 equals 15 to illustrate how to calculate the areas under the probability density function. The tutorial concludes by showing how to determine the probabilities of x being greater or less than 15 using this notation.

What is the term used to describe the notation x sub alpha?

• Gamma notation

• Delta notation

• Alpha notation

• Beta notation

If x sub alpha is given, what is the probability that x is greater than x sub alpha?

• Alpha

• 1 minus alpha

• Beta

• Gamma

In terms of area under the probability density function, what does the area to the right of x sub alpha represent?

• Beta

• Gamma

• Alpha

• 1 minus alpha

In the example where x sub 0.22 equals 15, what is the probability that x is less than 15?

• 0.22

• 0.78

• 0.50

• 0.15

What is the value of alpha in the example where x sub 0.22 equals 15?

• 0.78

• 0.50

• 0.22

• 0.15

How can the graph be used to find the probability that x is greater than 15?

• By finding the area to the left of 15

• By finding the area to the right of 15

• By finding the total area under the curve

• By finding the midpoint of the curve

What is the probability that x is greater than 15 in the given example?

• 0.15

• 0.50

• 0.22

• 0.78

What is the probability that x is less than 15 in the given example?

• 0.50

• 0.22

• 0.78

• 0.15