Probability chapter 10

Question 1

Random experiment

Answer 1

Any repeatable action with a collection of clearly defined outcomes that cannot be predicted with certainty. EG: An ordinary dice is thrown once

Question 2

Sample space

Answer 2

collection of all possible outcomes of the experiment.

Total probability associated with a sample space is 1

Question 3

events

Answer 3

Groups of outcomes within sample space

Question 4

Mutually exclusive

Answer 4

If A and B are mutually exclusive, p(A or B) = P(A)+P(B).

They cannot occur together. EG; you cant roll a dice and get a 5 and 6 . P(A) x P(B) = 0

Question 5

Exhaustive

Answer 5

No other outcome exists.

P(A)’= 1 - P(A)

Question 6

Two events A and B are independent

Answer 6

If A and B are independent P(A and B) = P(A) x P(B)

Question 7

To solve a probability question

Answer 7

1) Identify mutually exclusive events + use the addition rule
2) Identify independent events and use the , multiplication rule
3) For unknown probabilities, consider using the “probabilities total 1” result

Question 8

To solve problem involving the binomial distribution

Answer 8

1) Check the conditions for a binomial distribution are met. List any assumptions
2) Identify random variable and the corresponding values of n and p
3) Calculate probabilities using the addition and multiplication rules if necessary

Question 9

4 Conditions needed for binomial distribution

Answer 9

1) Two possible outcomes in each trial
2) Fixed number of trials
3) Independent trials
4) Independent trials (p is the same for each trial)

Question 10

Binomial equation

Answer 10

P(X=x) = nCx p^x(1-p)^n-1

Question 11

is fair?

Answer 11

For fair dice p(sum of scores) =1/12