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

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.

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.

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.

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).

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.

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!