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You should be able to:

- Evaluate arithmetic expressions using the correct order of evaluation
- Evaluate mathematical formulas which involve the summation sign
- Substitute numbers into formulas and correctly evaluate the resulting
- Explain intuitively the concept of a
*measure of central tendency* - Define and calculate the
*median*of a collection of numeric data - Define and calculate the
*arithmetic mean*of a collection of numeric data expressions

You should be able to:

- Explain why both the mean and median are measures of central tendency, and compare and contrast their usefulness
- Explain intuitively the concept of a
*measure of spread* - Define and calculate the
*sample variance*and*sample standard deviation*of a collection of numeric data - Explain why the sample variance is a measure of spread
- Define and calculate the
*interquartile range*of a collection of data - Define
*nominal*,*ordinal*,*discrete*, and*continuous*data - Define
*relative frequency*, and give examples of its use - Understand the relation between the sample mean and the relative frequency
- Explain intuitively the concept of a
*sampling distribution* - Construct a
*histogram*from a collection of numeric data - Understand what it means for a distribution to be
*skewed* - Construct and read simple x-y plots
- Understand a two-by-two cross-classification table

You should be able to:

- Understand that probability is defined in terms of limiting relative frequencies
- Understand that probabilities are numbers between zero and one
- Understand the concept of a sample space
- Understand how to compute the probability of the complement of an event, given the probability of the event
- Be able to calculate simple probabilities involving equally likely events (such as rolls of a fair die, etc.)
- Understand the concept of mutually exclusive events
- Understand the addition rule of probability
- Understand the concept of independence
- Understand the multiplication rule for independent events

You should be able to:

- Understand the definition of conditional probability.
- Understand the law of total probability
- Understand Bayes' Rule
- Understand various public health applications of probability theory
- Understand sensitivity, specificity, and the predictive value of a positive.

You should be able to:

- Understand how to compute the number of permutations of K distinguishable objects.
- Understand how to compute the number of ways to choose K objects out of N distinguishable objects.
- Understand the binomial distribution.
- Understand the definition of expectation.
- Understand the relation between expectation and sample mean.
- Understand that the expectation of the binomial distribution is Np, where N is the number of trials and p is the success probability per trial.
- Understand how the binomial is a model of sampling from a large population, or of sampling with replacement.
- Understand the concept of population variance.
- Understand the concept of cumulative distribution function.

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