1342 - Final Review Questions - Test #2

Front

What is the binomial probability formula?

Back

The binomial probability formula is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.

Front

What does a standard deviation measure in a probability distribution?

Back

Standard deviation measures the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

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

Back

The standard deviation for a binomial distribution is calculated using the formula: σ = √(n * p * (1 - p)), where n is the number of trials and p is the probability of success.

Front

What is a discrete probability distribution?

Back

A discrete probability distribution is a statistical distribution that describes the likelihood of outcomes of a discrete random variable, which can take on a countable number of values.

Front

What does it mean for a probability to be 'at most' a certain value?

Back

'At most' means that the probability includes all outcomes that are less than or equal to that value.

Front

What is the significance of the cumulative distribution function (CDF)?

Back

The cumulative distribution function (CDF) gives the probability that a random variable is less than or equal to a certain value, providing a way to understand the distribution of probabilities.

Front

What is the probability of exactly one success in a binomial distribution?

Back

The probability of exactly one success in a binomial distribution can be calculated using the binomial probability formula with k=1.

Front

What is the relationship between mean and standard deviation in a probability distribution?

Back

The mean provides a measure of the central tendency of the distribution, while the standard deviation measures the spread of the data around the mean.

Front

How do you find missing probabilities in a discrete probability distribution?

Back

To find missing probabilities, ensure that the sum of all probabilities in the distribution equals 1, and solve for the unknown.

Front

What is the probability of a C-section birth if the probability is 32%?

Back

The probability of a C-section birth is 0.32, which means that in a large number of births, approximately 32% will be C-section.