AP Stats Probability Review

Front

What is the law of large numbers?

Back

Simulated probabilities seem to get closer to the true probability as the number of trials increases.

Front

What are mutually exclusive events?

Back

Events that never occur at the same time.

Front

If random variable T has mean 15 and standard deviation 4, and random variable S has mean 12 and standard deviation 3, what are the mean and standard deviation of R−S if R and S are independent?

Back

Mean: 3, Standard Deviation: 5.

Front

Are events A (brown eyes) and B (brown hair) mutually exclusive if 50% have brown eyes, 40% have brown hair, and 65% have brown hair or brown eyes?

Back

No, because P(A∩B)=0.25.

Front

What is the equation for standard deviation of a geometric distribution?

Back

σx=[(square root 1-p)/p].

Front

Define probability.

Back

The measure of the likelihood that an event will occur.

Front

What is a random variable?

Back

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

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes; dependent events do.

Front

What is the formula for the mean of a probability distribution?

Back

Mean = Σ [x * P(x)], where x is the value and P(x) is the probability.

Front

What does it mean for events to be complementary?

Back

Two events are complementary if the occurrence of one event means the other cannot occur.