P7: AP Stats: Chapters 5 & 6 Review

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What are the conditions for a legitimate assignment of probabilities?

Back

The probabilities must be non-negative and sum to 1.

Front

If the probability of winning a match is 0.6, what is the probability of losing?

Back

The probability of losing is 1 - 0.6 = 0.4.

Front

What does it mean for events to be independent in probability?

Back

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

Front

How do you calculate the probability of at least one success in multiple trials?

Back

Use the complement rule: P(at least one success) = 1 - P(no successes).

Front

What is the formula for the expected value of a discrete random variable?

Back

E(X) = Σ [x * P(x)], where x is a value and P(x) is its probability.

Front

What is the mean of a probability distribution?

Back

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

Front

How do you find the expected number of trials until the first success?

Back

Use the formula: E = 1/p, where p is the probability of success.

Front

What is the probability of finding a Democrat if 60% of the population is registered as such?

Back

The probability of finding a Democrat is 0.6.

Front

What is the probability of not finding a Democrat after three attempts?

Back

P(no Democrat in 3 attempts) = (0.4)^3 = 0.064.