Lesson 6.2 Analyze Discrete Random Variables

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, often representing counts or whole numbers.

Front

Define probability in the context of discrete random variables.

Back

Probability is a measure of the likelihood that a particular outcome will occur, expressed as a number between 0 and 1.

Front

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

Back

Front

How do you find the probability of getting at least 'k' successes in a binomial distribution?

Back

Use the cumulative distribution function (CDF) or calculate the probabilities for 'k' to the maximum number of trials and sum them.

Front

What does the mean (μ) represent in a probability distribution?

Back

The mean (μ) represents the average or expected value of a random variable in a probability distribution.

Front

What is standard deviation (σ) in the context of probability distributions?

Back

Standard deviation (σ) measures the amount of variation or dispersion of a set of values in a probability distribution.

Front

What is a probability histogram?

Back

A probability histogram is a graphical representation of the probability distribution of a discrete random variable, showing the probabilities of different outcomes.

Front

What does it mean if a probability histogram is skewed to the right?

Back

A right-skewed histogram indicates that the majority of the data points are concentrated on the left side, with a tail extending to the right.

Front

What is the significance of the peak in a probability histogram?

Back

The peak in a probability histogram represents the most likely outcome or the mode of the distribution.

Front

How do you calculate the mean of a discrete random variable from a probability distribution?

Back