Module 7 Practice Questions

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. For example, the number of earrings in a person's ear is a discrete random variable.

Front

What is the mean of a probability distribution?

Back

The mean of a probability distribution is the average value of a random variable, calculated by summing the products of each possible value and its corresponding probability.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean of a distribution. It is calculated as (X - mean) / standard deviation.

Front

What is a normal distribution?

Back

A normal distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, where most observations cluster around the central peak.

Front

What is the range of a random variable?

Back

The range of a random variable is the set of all possible values that the variable can take.

Front

What does it mean for a random variable to be independent?

Back

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

Front

What is the difference between a population and a sample?

Back

A population includes all members of a specified group, while a sample is a subset of the population used to represent the group.

Front

What is the law of large numbers?

Back

The law of large numbers states that as the number of trials increases, the sample mean will converge to the expected value (population mean).

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.