Probability & Statistics Semester exam-DEC2022

Front

What is the definition of probability?

Back

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

Front

What is a Venn diagram used for in statistics?

Back

A Venn diagram is used to illustrate the relationships between different sets, showing how they overlap and the number of elements in each set.

Front

What does it mean if a distribution is bimodal?

Back

A bimodal distribution has two different modes or peaks, indicating that there are two prevalent values in the data set.

Front

How do you calculate relative frequency?

Back

Relative frequency is calculated by dividing the frequency of a specific event by the total number of events.

Front

What is the probability of drawing a specific card from a standard deck?

Back

The probability of drawing a specific card is 1/52, since there are 52 cards in total.

Front

What is the probability of rolling an even number on a die?

Back

The probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B) for independent events.

Front

What does it mean for a distribution to be skewed left?

Back

A left-skewed distribution has a longer tail on the left side, indicating that the majority of the data points are concentrated on the right.

Front

What is the total probability of all possible outcomes in a probability experiment?

Back

The total probability of all possible outcomes in a probability experiment is always equal to 1.

Front

What is the difference between a sample and a population in statistics?

Back

A sample is a subset of a population, which is the entire group being studied.