Probability Distributions

Front

What is a discrete random variable?

Back

A discrete random variable is a type of variable that can take on a countable number of distinct values, such as the number of siblings a person has.

Front

What is a continuous random variable?

Back

A continuous random variable is a variable that can take on an infinite number of values within a given range, such as height or weight.

Front

What is a probability distribution?

Back

A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

Front

What is the sum of probabilities in a valid probability distribution?

Back

The sum of all probabilities in a valid probability distribution must equal 1.

Front

What does P(X ≥ 7) represent?

Back

P(X ≥ 7) represents the probability that the random variable X is greater than or equal to 7.

Front

How do you calculate the probability of 'at most' a certain value?

Back

To calculate the probability of 'at most' a certain value, sum the probabilities of all outcomes up to and including that value.

Front

What is the probability of trapping at most two mice if the distribution is given?

Back

0.63 (sum of probabilities for 0, 1, and 2 mice caught).

Front

What is the difference between discrete and continuous random variables?

Back

Discrete random variables can take specific values (like counts), while continuous random variables can take any value within a range.

Front

What is an example of a discrete random variable?

Back

The number of students in a classroom.

Front

What is an example of a continuous random variable?

Back

The time it takes to run a race.