PS Unit 8 Test

Front

What is a continuous random variable?

Back

A continuous random variable can take any value within a given range. It is often associated with measurements, such as time, height, or temperature.

Front

What is a discrete random variable?

Back

A discrete random variable can take only specific, distinct values, often counted in whole numbers, such as the number of students in a class.

Front

Example of a continuous random variable?

Back

The time it takes to drive to school.

Front

Example of a discrete random variable?

Back

The number of computers in a household.

Front

What is the Geometric Distribution?

Back

The Geometric Distribution models the number of trials until the first success in a series of independent Bernoulli trials.

Front

What is the Binomial Distribution?

Back

The Binomial Distribution models the number of successes in a fixed number of independent Bernoulli trials.

Front

How do you calculate the expected value of a discrete random variable?

Back

The expected value is calculated by multiplying each possible value by its probability and summing all these products.

Front

What does E(X) represent?

Back

E(X) represents the expected value of the random variable X.

Front

If a computer chip manufacturer rejects 2% of chips, what is the probability of the first bad chip being the fifth tested?

Back

This scenario follows a Geometric Distribution.

Front

What is the difference between discrete and continuous data?

Back

Discrete data can only take specific values, while continuous data can take any value within a range.