Unit 6 - Probability Distributions

Front

What shape is a normal distribution curve?

Back

Bell curve

Front

What is the probability that exactly 2 of the first 20 blood donors have Type B blood if 11% of the U.S. population has Type B blood?

Back

0.282

Front

What percent of students in a course at UCDavis have a GPA between 2.9 and 3.8 if the mean GPA is 3.2 and the standard deviation is 0.3?

Back

81.5%

Front

What proportion of weeks would you expect to have more than 7 accidents if the mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5?

Back

0.3446

Front

Using the Empirical Rule, how many of the 500 golf members at the Mathy Country Club are younger than 34 if the ages of golfers are normally distributed with a mean of 38 and a standard deviation of 4?

Back

80

Front

What is the Empirical Rule in statistics?

Back

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

Define 'mean' in the context of probability distributions.

Back

The mean is the average value of a set of numbers, calculated by summing all values and dividing by the number of values.

Front

What is a standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What does it mean if a distribution is skewed?

Back

A skewed distribution is one where the data points are not symmetrically distributed around the mean, leading to a longer tail on one side.

Front

What is a binomial distribution?

Back

A binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent outcomes.