Probability and Statistics

Front

What is the sample space for the experiment of tossing three coins?

Back

S = {TTT, TTH, THT, HTT, HHT, HTH, THH, HHH}

Front

Define the term 'Sample Space' in probability.

Back

The set of all possible outcomes of an experiment.

Front

Which of the following random variables is NOT continuous?

Back

Number of goals scored by a hockey team.

Front

Is the number of heads when tossing a coin 50 times discrete or continuous?

Back

Discrete

Front

What is a 'Random Variable'?

Back

A rule that assigns a numerical value or characteristic to an outcome of an experiment.

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 range.

Front

Give an example of a continuous random variable.

Back

The amount of gasoline in a car.

Front

What is a probability distribution?

Back

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

Front

What does it mean for an event to be independent in probability?

Back

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

Front

What is the expected value in probability?

Back

The long-term average or mean of a random variable's possible values, weighted by their probabilities.