Probability + Binomial Distribution

Question 1

What is a sample space diagram?

Answer 1

A table that shows all the possible outcomes of events

Question 2

What is theoretical probability?

Answer 2

Question 3

What is experimental probability?

Answer 3

Question 4

What is the expected frequency?

Answer 4

Question 5

What is the difference between a “subset” and a “proper subset”?

Answer 5

Question 6

Draw the Venn diagram for :
A U B
A ∩ B
A’
A ∩ B’

Answer 6

Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

What does it mean for two events to be mutually exclusive?

Answer 12

They cannot happen at the same time

Question 13

How would you represent the probability of being mutually exclusive and not mutually exclusive? (With equation)

Answer 13

Question 14

What does it mean for two events to be independent? And equation

Answer 14

They have no affect on each other

Question 15

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Question 16

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Question 17

What does this notation mean?

Answer 17

Question 18

represnt the following information as a
* sample space
* distribution as a table
* distribution as a function

Answer 18

Question 19

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Question 20

What is discrete uniform distribution?

Answer 20

A probability distribution with all equal likely outcomes

Question 21

How would you calculate the expected value ?

Answer 21

Question 22

What is a binomial probability distribution?

Answer 22

Binomial coefficients are used to determine the probability of an event happening

Question 23

What are the conditions required for probability being able to be calculated using binomial distribution?

Answer 23

• F ixed number of (n) trials
• Independnat outcomes
• C onstant probability of success (p)
• T wo outcomes : success & failure

Question 24

How is a random variable X who’s outcome is the number of successes by being distributed Binomially?

Answer 24

Question 25

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Question 26

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Question 27

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Question 28

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Question 29

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Question 30

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Question 31

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Question 32

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Question 33

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Question 34

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