Understanding Probability Distribution and Expected Value

The video tutorial explains the probability distribution of checkout stations in a grocery store. It guides viewers through calculating the expected value by completing a probability table and computing the products of the number of utilized stations and their corresponding probabilities. The tutorial concludes by summing these products to find the expected value, which is 3.15.

What is the total number of checkout stations in the grocery store?

• Six

• Four

• Seven

• Five

In the table, what does the first row represent?

• Sum of products

• Expected value

• Number of utilized stations

• Probabilities

What is the probability that exactly two stations are utilized?

• 0.10

• 0.18

• 0.39

• 0.17

How do you calculate the expected value in this context?

• By dividing the total number of stations by the sum of probabilities

• By subtracting the smallest probability from the largest

• By multiplying each station number by its probability and summing the results

• By adding all probabilities

What is the product of 3 utilized stations and its probability?

• 0.68

• 0.36

• 0.24

• 1.17

What is the sum of the products of the number of utilized stations and their probabilities?

• 4.15

• 3.15

• 5.15

• 2.15

What does the expected value represent in this scenario?

• The average number of utilized stations

• The most probable number of utilized stations

• The minimum number of utilized stations

• The maximum number of utilized stations

What is the expected value of the number of utilized stations?

• 3.15

• 4.15

• 2.15

• 5.15

How is the expected value denoted in the conclusion?

• S(X)

• E(X)

• P(X)

• M(X)

What is the final remark about the expected value?

• It is not calculable

• It is less than 2

• It is greater than 4

• It is equal to 3.15