Stats practice set #2

Front

What is a binomial distribution?

Back

A binomial distribution is a probability distribution that summarizes the likelihood of a value taking on one of two independent outcomes, often referred to as 'success' and 'failure', in a fixed number of trials.

Front

What is the formula for calculating the probability of exactly x successes in a binomial distribution?

Back

P(X = x) = (nCx) * (p^x) * (q^(n-x)), where n is the number of trials, p is the probability of success, q is the probability of failure (1-p), and nCx is the binomial coefficient.

Tags

CCSS.HSS.MD.A.4

CCSS.HSS.MD.A.3

Front

How do you calculate the mean of a binomial distribution?

Back

The mean (μ) of a binomial distribution is calculated using the formula: μ = n * p, where n is the number of trials and p is the probability of success.

Tags

CCSS.HSS.ID.A.4

Front

How do you calculate the standard deviation of a binomial distribution?

Back

The standard deviation (σ) of a binomial distribution is calculated using the formula: σ = √(n * p * q), where n is the number of trials, p is the probability of success, and q is the probability of failure.

Front

What is the 5-number summary in statistics?

Back

The 5-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of a dataset.

Tags

CCSS.6.SP.B.5B

Front

How do you find the probability of drawing two balls from a bag without replacement?

Back

To find the probability of drawing two balls without replacement, multiply the probability of drawing the first ball by the probability of drawing the second ball given the first has been drawn.

Front

What is the significance of the binomial coefficient in probability calculations?

Back

The binomial coefficient (nCx) represents the number of ways to choose x successes from n trials, which is crucial for calculating probabilities in binomial distributions.

Tags

CCSS.HSS.CP.B.9

Front

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.

Tags

CCSS.HSS.CP.A.5

Front

What is a box plot and what does it represent?

Back

A box plot is a graphical representation of the distribution of a dataset that shows the median, quartiles, and potential outliers.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

How do you interpret a box plot?

Back

In a box plot, the box represents the interquartile range (IQR), the line inside the box indicates the median, and the 'whiskers' extend to the minimum and maximum values, excluding outliers.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4