Stat Unit 4 Test

Front

What is the expected value (mean) in statistics?

Back

The expected value (mean) is the average of all possible values of a random variable, weighted by their probabilities.

Front

What is a probability distribution?

Back

A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can take.

Front

What are the conditions for a table to be a probability distribution?

Back

1. All probabilities must be between 0 and 1. 2. The sum of all probabilities must equal 1.

Front

What is the probability of an event that cannot occur?

Back

The probability of an event that cannot occur is 0.

Front

What is the probability of an event that is certain to occur?

Back

The probability of an event that is certain to occur is 1.

Front

How do you calculate the probability of a single event?

Back

P(event) = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is a discrete random variable?

Back

A discrete random variable is a variable that can take on a countable number of distinct values.

Front

What is the formula for calculating the expected value of a discrete random variable?

Back

E(X) = Σ [x * P(x)], where x is a value and P(x) is the probability of x.

Front

What is the significance of simulations in probability?

Back

Simulations help estimate probabilities and outcomes by mimicking random processes.

Front

In a roulette game, how do you calculate the probability of landing on a specific color?

Back

P(color) = (Number of slots of that color) / (Total number of slots).