FAST Probability and Distributions

Question 1

What is the probability of an impossible event?

Accepted Answer

0

Answer

1

Answer

0.5

Answer

Undefined

Question 2

What is the difference between independent and dependent events?

Accepted Answer

Independent events do not affect each others probability; dependent events do

Answer

They are the same thing

Answer

Independent events always occur together

Answer

Dependent events cannot occur simultaneously

Question 3

What does the Law of Large Numbers state?

Accepted Answer

As sample size increases, the sample mean approaches the population mean

Answer

Large samples are always better than small samples

Answer

Probability is only valid for large numbers

Answer

Large numbers always produce normal distributions

Question 4

What is conditional probability?

Accepted Answer

The probability of an event given that another event has already occurred

Answer

The probability that is conditional on sample size

Answer

A probability that changes over time

Answer

The probability of two events occurring simultaneously

Question 5

What is Bayes Theorem used for?

Accepted Answer

Updating probabilities based on new evidence

Answer

Calculating the mean of a population

Answer

Determining sample size requirements

Answer

Measuring correlation between variables

Question 6

What is a normal distribution?

Accepted Answer

A symmetric, bell-shaped distribution where most values cluster around the mean

Answer

Any distribution with a known mean

Answer

A distribution with exactly two modes

Answer

A distribution that only applies to sample data