Probability and Distributions Flashcards
6 cards from real FAST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Probability and Distributions flashcards as text
What is the probability of an impossible event?
Answer: 0
An impossible event has a probability of 0, meaning it can never occur.
What is the difference between independent and dependent events?
Answer: Independent events do not affect each others probability; dependent events do
Independent events have no influence on each other, while the occurrence of a dependent event changes the probability of the other.
What does the Law of Large Numbers state?
Answer: As sample size increases, the sample mean approaches the population mean
The Law of Large Numbers states that as the number of trials increases, the experimental probability converges to the theoretical probability.
What is conditional probability?
Answer: The probability of an event given that another event has already occurred
Conditional probability P(A|B) measures the likelihood of event A occurring given that event B has already happened.
What is Bayes Theorem used for?
Answer: Updating probabilities based on new evidence
Bayes Theorem provides a mathematical framework for updating prior probabilities with new evidence to calculate posterior probabilities.
What is a normal distribution?
Answer: A symmetric, bell-shaped distribution where most values cluster around the mean
The normal distribution is bell-shaped with symmetry around the mean, with about 68% of data within one standard deviation.