Statistics Probability & Distributions

Question 1

If P(A) = 0.4 and P(B) = 0.3 and A and B are mutually exclusive, what is P(A or B)?

Accepted Answer

0.7

Answer

0.12

Answer

0.58

Answer

1.0

Question 2

What is the expected value of a fair six-sided die roll?

Accepted Answer

3.5

Answer

3

Answer

4

Answer

2.5

Question 3

Which probability distribution is appropriate for modeling the number of successes in a fixed number of independent trials?

Accepted Answer

Binomial distribution

Answer

Normal distribution

Answer

Poisson distribution

Answer

Uniform distribution

Question 4

What does it mean for two events A and B to be independent?

Accepted Answer

P(A|B) = P(A)

Answer

P(A and B) = 0

Answer

P(A or B) = 1

Answer

P(A) = P(B)

Question 5

The Poisson distribution is typically used to model which type of event?

Accepted Answer

Count of rare events occurring in a fixed interval

Answer

Proportion of successes in a sample

Answer

Continuous measurements from a population

Answer

Differences between two group means

Question 6

What is the complement rule in probability?

Accepted Answer

P(A') = 1 − P(A)

Answer

P(A') = P(A)

Answer

P(A') = P(A) × P(B)

Answer

P(A') = P(A) + P(B)