FAST Probability and Distributions 1

Question 1

What is the probability of an impossible event?

Accepted Answer

0

Answer

An impossible event has a probability of 0, meaning it can never occur.

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

Independent events have no influence on each other, while the occurrence of a dependent event changes the probability of the other.

Question 3

What does the Law of Large Numbers state?

Accepted Answer

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

Answer

The Law of Large Numbers states that as the number of trials increases, the experimental probability converges to the theoretical probability.

Question 4

What is conditional probability?

Accepted Answer

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

Answer

Conditional probability P(A|B) measures the likelihood of event A occurring given that event B has already happened.

Question 5

What is Bayes Theorem used for?

Accepted Answer

Updating probabilities based on new evidence

Answer

Bayes Theorem provides a mathematical framework for updating prior probabilities with new evidence to calculate posterior probabilities.

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