This is a Chapter 8.1 Uniform Distribution question. To solve it, we’ll need to first work out the height of the distribution: f(x), and then calculate the area under the curve over the interval 4,500 gallons – 6,500 gallons.

# Last Semester’s Test – Winter 2018 Term Test #2

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## Lessons

## Question 1a (Preview)

## Question 1b (Preview)

Another Chapter 8.1 Uniform Distribution question. Here we’re asked to find the probability of an interval that sits partially outside of the uniform distribution – No worries though, the solution is simple. Just ignore the probabilities of x values below the minimum of 1,000 gallons.

## Question 1c (Preview)

More Chapter 8.1 Uniform Distribution – but this is a trick question. For continuous data you need to remember that probability equals the area under the curve. If there is no interval defined to hold an area, then there is no probability.

## Question 1d (Preview)

Guess what? Yet another Chapter 8.1 Uniform Distribution question. The interval defined in this question appears to have no upper limit ( X > 6,000), but since the probability of any value of X outside the uniform distribution is zero, we find the area within the interval 6,000 < X < 11,000.

## Question 1e (Preview)

Now we move to a binomial solution from Chapter 7. Why? The focus of the probability in this question changed from an individual outcome to a number of outcomes (at least 4 days out of a 7-day week). I demonstrate how to solve this the long way (formula) and the quick way (binomial table).

## Question 1f (Preview)

This is a simple binomial question where we are looking for the probability that x has an exact value (much easier than looking for <, ≤, >, or ≥ relationships). I show you how to solve this one using both the formula and the table.

## Question 1g (Preview)

This question is a curve that they throw in every Term Test #2. Parts a) to d) focused on individual daily outcomes (Chapter 8), then parts e) and f) gave us a sample size of 7 days so we switched to binomial solutions (Chapter 7), but now we need Chapter 9 to solve what still looks like a binomial experiment. Why? … the sample size is too large!

## Question 2a

This is a very typical chapter 8 normal distribution question. I take you perform a complete walk-through on how to identify the correct method, and then perform the solution quickly

## Question 2b

Just two simple keywords in this question identify it as a chapter 9 problem. I'll show you how to look for these kinds of questions on your test, and how to solve them

## Question 2c

Most exams include this reverse chapter 8 question where you're giving a probability and asked for the boundary. Make sure you understand how to justify your answer for this type of problem.

## Question 2d

A lot of students scored zero marks on this past exam question. They simply have no idea how to approach the solution. It's actually not as bad as it looks - let me show you how to work it out.

## Question 2e

Another simple keyword changes this question once again from what looks like a Chapter 8 normal distribution question into a Chapter 7 binomial question. Watch and find out how