Probability and Statistics

Front

What is probability?

Back

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

Front

What is the formula for calculating theoretical probability?

Back

Theoretical probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you calculate the probability of an event not occurring?

Back

The probability of an event not occurring is calculated as 1 minus the probability of the event occurring.

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 difference between independent and dependent events?

Back

Independent events are those whose outcomes do not affect each other, while dependent events are those where the outcome of one event affects the outcome of another.

Front

How do you find the probability of multiple independent events occurring?

Back

To find the probability of multiple independent events occurring, multiply the probabilities of each individual event.

Front

What is a random variable?

Back

A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.

Front

What is the expected value in probability?

Back

The expected value is the long-term average or mean of a random variable, calculated as the sum of all possible values, each multiplied by its probability.

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 a probability distribution?

Back

A probability distribution describes how the probabilities are distributed over the values of the random variable.