# Midterm 2 Study guide

## Instructions

The midterm will be available on Tuesday April 7 from 12:00 AM until 11:59 PM. You may take the midterm at any time during this period in Canvas, but you will only have 75 minutes to complete this once it begins. The midterm will be a total of $$12$$ questions long giving approximately $$6$$ minutes to spend per question. The midterm will cover the content from the book sections:

• 4.1 - 4.3
• 5.1 - 5.2
• 6.1 - 6.2
• 6.4 - 6.5

There will be an emphasis on the following topics:

• How to compute the probability of events from a table. You should be familiar with how to use the addition rule, the multiplication rule, “AND”, “OR”, complements and conditional probability to analyze these events.
• Independence and its relationship to sampling with and without replacement. You should be able to compute simple probabilities based on this.
• How to find the relevant parameters for the binomial distribution for a word problem. You need to identify the correct number of trials, the probability of success and the probability of failure.
• How to find the mean, standard deviation and variance for the binomial distribution.
• How to find the probability of some number of success or failures in a process that follows a binomial distribution. This includes an exact number or some range of values.
• How to identify a significantly low or significantly high observation given a binomial distribution. We will use 5% as the measure of significance.
• How to find the probability of randomly selecting an observation from a normal distribution that is at least some value, at most some value, or lying in some range.
• How to use the Central Limit Theorem to find the probability of a sample mean being at least some value, at most some value, or lying in some range.
• How to assess the normality of some sample of observations using histograms or Q-Q plots.

## Suggested problems

In Pearson, there is an online miderm 2 review – this is not scored for the final grade, and you can ignore problems that do not come from the above sections or topics.

In the textbook, you are recommended to study chapter review problems that emphasize the above topics.

In the lectures, you are recommended to study all discussion questions and examples that emphasize the above topics.

You are recommended to review all quiz questions.

Because there is no partial credit, the midterm has a built in curve. The exam is graded out of 20 points, with 12 questions each worth 1.8 points. This means that
Number of questions incorrect Percent score
0 108%
1 99%
2 90%
3 81%
4 72%
5 63%
6 54%
7 45%
8 36%
9 27%
10 18%
11 9%
12 0%