Events and Independence

Determine the probability of the event happening.

A bag of marbles has 3 red, 1 green and 7 yellow marbles. What is the probability of selecting a green and then a yellow with replacement?            

Given the Venn Diagram what is the P(A)?

• P(A) = 0.24

• P(A) = 0.08

• P(A) = 0.49

• P(A) = 0.32

Given the Venn Diagram what is the P(B)?

• P(B) = 0.25

• P(B) = 0..17

• P(B) = 0.49

• P(B) = 0.32

Given the Venn Diagram what is the P(A and B)?

• P(A and B) = 0.25

• P(A and B) = 0.08

• P(A and B) = 0.49

• P(A and B) = 0.32

Given the Venn Diagram what is the P(A or B)?

• P(A or B) = 0.25

• P(A or B) = 0.08

• P(A or B) = 0.49

• P(A or B) = 0.32

Explain the concept of dispersion and how it can be used to analyze the variation in attendance at different events during the Independence Day celebrations.

• Dispersion refers to the total number of attendees at an event.

• Dispersion is a statistical measure of variation in data, useful for analyzing attendance variation at Independence Day events.

• Dispersion measures the average attendance across all events.

• Dispersion is only relevant for financial data analysis.

How would you calculate the variance of the number of attendees at the Independence Day celebrations if the data set is: 200, 300, 400, 500, 600?

• By finding the average of the squared differences from the mean.

• By adding all the values and dividing by the number of events.

• By selecting the highest and lowest values and averaging them.

• By counting the total number of attendees.

• 27/200

• 91/200

• 3/10

• 9/20

• 3/5

• 11/20

• 2/5

• 9/20

Events A and B are independent. Find the missing probability.

• 3/50

• 9/20

• 2/5

• 13/20