Ch 5 Probability Flashcards

1
Q

Steps of a simulation plan?

A
  1. State the problem
  2. State assumptions
  3. Assign outcomes
  4. Stimulate many repetitions
  5. State conclusion
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Probability of any outcome of a chance process is ___

A

A number btwn 0 & 1 that describes the proportion of times the outcome would occur in a VERY LONG SERIES OF REPETITIONS

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is probability also known as?

A

Long run frequency

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Random

How does it apply to probability

A

Anything could happen in the short term, but there is a pattern over the long term

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Probability model

Used for?

A

Used to model chance behavior

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What is a probability model

A

Description of some chance process that consists of 2 parts

1) a sample size S
2) a probability to each outcome

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Sample space S of a chance process

A

Set of all possible outcomes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Probability is a # between…

A

0 & 1.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Sum of probabilities for a situation should equal ?

A

1 (like in a probability model chart)

If S is sample space, P(S)= 1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

If 2 events have no outcomes in common, how do you find the probability that 1 or the other will happen?

A

Add (disjoint events)

P(A or B) = P(A)+P(B)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Probability that an event doesn’t occur is ____ minus ___?

A

1 minus P(event)
Complement rule
1-P(A) = P(A^c)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

How do you find the chance that two events will both happen?

A

Multiply (independent)

P(A&B)=P(A) * P(B)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What methods do you use when you see the word “both”?

A

Venn diagram or two way table

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Conditional probability

A

Probability that 1 event happens given that another event is already known to have happened

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Intersection means?

And union means?

A

Intersection means and

Union means or

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

When are two events independent?

A

Independent if 1 event does NOT change the probability that the other event will happen

17
Q

How to check for independence?

A

P(A) = P(A|B)

If equal, then independent

18
Q

Can mutually exclusive and independent both happen?

A

No. Check for disjoint first. If no disjoint, check for independence

19
Q

Simulation

A

The limitation of chance behavior, based on a model that accurately reflects the phenomenon under consideration

20
Q

What do you do when it says or?

A

Add

21
Q

What do you do when it says and??

A

Multiply

22
Q

When do you use a tree diagram?

A

Series of events occurring