MIDTERM EXAM REVIEW [STATS.A]

Front

What is a uniform distribution?

Back

A uniform distribution is a type of probability distribution in which all outcomes are equally likely. The shape of the distribution is flat, indicating that each value has the same probability of occurring.

Front

What does it mean if a distribution is skewed to the left?

Back

A distribution is skewed to the left when the left tail (lower values) is longer or fatter than the right tail. This indicates that there are a larger number of lower values compared to higher values.

Front

What is correlation in statistics?

Back

Correlation measures the strength and direction of a linear relationship between two variables. It ranges from -1 (perfect negative correlation) to +1 (perfect positive correlation), with 0 indicating no correlation.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. P(Event) = Number of favorable outcomes / Total outcomes.

Front

What is a binomial random variable?

Back

A binomial random variable is a type of discrete random variable that counts the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.

Front

What is the formula for calculating the probability of getting at least one success in a binomial experiment?

Back

P(at least one success) = 1 - P(no successes) = 1 - (1 - p)^n, where p is the probability of success and n is the number of trials.

Front

What does it mean if a scatterplot shows a negative correlation?

Back

A negative correlation in a scatterplot indicates that as one variable increases, the other variable tends to decrease. The points will slope downwards from left to right.

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What is the difference between independent and dependent events in probability?

Back

Independent events are those whose outcomes do not affect each other, while dependent events are those where the outcome of one event affects the outcome of another.

Front

What is the probability of selecting a specific token from a jar?

Back

The probability of selecting a specific token is calculated by dividing the number of that specific token by the total number of tokens in the jar.

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What is conditional probability?

Back

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