Module 6 Practice Questions

Front

What is the definition of independent events in probability?

Back

Two events A and B are independent if the occurrence of one does not affect the probability of the other. Mathematically, P(A|B) = P(A) and P(B|A) = P(B).

Front

If P(A) = 0.74, what is P(A|B) for independent events A and B?

Back

P(A|B) = P(A) = 0.74.

Front

How do you calculate the probability of a randomly chosen female having pierced ears from a two-way table?

Back

Divide the number of females with pierced ears by the total number of females.

Front

What is the formula to check for the independence of events A and B?

Back

Check if P(A|B) = P(A). If true, A and B are independent.

Front

What does P(D|B) represent in probability?

Back

P(D|B) represents the probability of event D occurring given that event B has occurred.

Front

What is the significance of comparing P(D) and P(D|B)?

Back

If P(D) = P(D|B), then events D and B are independent.

Front

What does P(not E|not M) represent in the context of gender and ear piercing?

Back

P(not E|not M) represents the probability of a randomly chosen female not having pierced ears.

Front

What is the probability of a randomly chosen female having pierced ears if 288 out of 320 females have pierced ears?

Back

The probability is 288/320.

Front

What is the relationship between conditional probability and independence?

Back

If two events are independent, the conditional probability of one event given the other is equal to the probability of the first event.

Front

How can you express the event of a male having pierced ears?

Back

This can be expressed as P(E|M), where E is having pierced ears and M is being male.