Module 5 Practice Questions

Front

What is the probability of an event?

Back

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

Front

Define independent events in probability.

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other(s).

Front

What is the formula for calculating the probability of two independent events occurring together?

Back

P(A and B) = P(A) * P(B) where A and B are independent events.

Front

What is a probability distribution?

Back

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

Front

What does it mean for an event to be mutually exclusive?

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

How do you calculate the probability of mutually exclusive events?

Back

P(A or B) = P(A) + P(B) for mutually exclusive events A and B.

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).

Front

What is a sample space in probability?

Back

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

Front

Define conditional probability.

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

What is the expected value in probability?

Back

The expected value is the long-term average or mean of a random variable, calculated as E(X) = Σ [x * P(x)] for all possible values x.