Unit 9 Review - Geometry

Front

What is a dependent variable in an experiment?

Back

The dependent variable is the effect or outcome that is measured in an experiment, which is influenced by changes in the independent variable.

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 ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

How do you calculate the probability of rolling an even number on a 6-sided die?

Back

There are 3 even numbers (2, 4, 6) on a 6-sided die. The probability is 3/6 or 1/2.

Front

What is the expected value in probability?

Back

The expected value is the long-term average of a random variable, calculated by multiplying each possible outcome by its probability and summing the results.

Front

If 30% of households have 1 child, 43% have 2 children, and 27% have 3 children, how do you find the expected number of children?

Back

Multiply the number of children by the percentage of households: (1*0.30) + (2*0.43) + (3*0.27) = 1.97.

Front

What is the formula for calculating probability?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

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

What is a sample space in probability?

Back

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

Front

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

Back

Multiply the probabilities of each individual event together.

Front

What is a random variable?

Back

A random variable is a numerical outcome of a random phenomenon, which can be discrete or continuous.