AP Stats 1st Semester Review

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

What does it mean for two events to be independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

How do you calculate expected value in a probability scenario?

Back

Expected value is calculated by multiplying each possible outcome by its probability and summing all these products.

Front

What is the binomial probability formula?

Back

The binomial probability formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, and its probability is calculated as P(A') = 1 - P(A).

Front

How do you find the probability of at least one event occurring?

Back

To find the probability of at least one event occurring, use the formula P(at least one) = 1 - P(none).

Front

What is a random variable?

Back

A random variable is a variable that takes on different values based on the outcome of a random event.

Front

What is the difference between discrete and continuous random variables?

Back

Discrete random variables can take on a countable number of values, while continuous random variables can take on an infinite number of values within a given range.

Front

What is the law of large numbers?

Back

The law of large numbers states that as the number of trials increases, the experimental probability will converge to the theoretical probability.