4.1 - Probability Distributions

Front

What is a probability distribution?

Back

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

Front

How do you calculate the mean of a probability distribution?

Back

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

Front

What is the expected value in probability?

Back

The expected value is the average outcome of a random variable, calculated as the sum of all possible values, each multiplied by its probability.

Front

What does the symbol σ represent in statistics?

Back

σ represents the population standard deviation, which measures the dispersion of a set of values.

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 given range.

Front

How do you classify the number of cheeseburgers served at a restaurant?

Back

The number of cheeseburgers served is classified as a discrete random variable.

Front

What is the formula for calculating the variance of a probability distribution?

Back

Variance is calculated as the sum of the squared differences between each value and the mean, multiplied by their probabilities.

Front

What is a fair coin flip in terms of probability?

Back

A fair coin flip has two equally likely outcomes: heads (probability = 0.5) and tails (probability = 0.5).

Front

How do you find the mean of a set of data?

Back

To find the mean, sum all the values and divide by the number of values.

Front

What is the significance of rounding in probability calculations?

Back

Rounding is important to ensure that answers are presented in a clear and concise manner, especially in real-world applications.