6.4 Warm Up 12.26.24 [STATS]

Front

What is the standard deviation in statistics?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values. It indicates how much individual data points differ from the mean of the dataset.

Front

How do you interpret the standard deviation of a random variable?

Back

The standard deviation indicates the average distance of data points from the mean. A smaller standard deviation means data points are closer to the mean, while a larger standard deviation indicates more spread out data.

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible event) and 1 (certain event).

Front

What is the formula for calculating the probability of an event?

Back

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

Front

What does it mean if a probability is 0?

Back

A probability of 0 means that the event cannot occur.

Front

What does it mean if a probability is 1?

Back

A probability of 1 means that the event is certain to occur.

Front

What is a random variable?

Back

A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.

Front

What is the difference between a discrete and continuous random variable?

Back

A discrete random variable can take on a countable number of values, while a continuous random variable can take on an infinite number of values within a given range.

Front

What is the mean of a random variable?

Back

The mean of a random variable is the average of all possible values, weighted by their probabilities.

Front

How do you calculate the mean of a transformed random variable?

Back

If W = a + bX, where X is a random variable, then the mean of W is given by E(W) = a + bE(X).