Probability I: The Study of Randomness
1. We call a phenomenon random if individual outcomes are uncertain but there is
nonetheless a regular distribution of outcomes in a large number of repetitions.
2. The probability of any outcome of a rand
Example 1: A cargo plane has three compartments for storing cargo:
front, center, and back. These compartments have capacity limits on
both weight and space, as summarized below:
Statistical inference Hypothesis Testing
Hypothesis Testing P-Value approach:
Recall our experiment A coin is flipped 100 times and 40 heads are observed.
<Step 1> setup hypotheses
H0 (Null Hypothesis): the coin is fair.
Or we can express the hypothesis i
4.1 (0.25 Marks) A 99% conﬁdence interval for the mean 41 of a population is
computed from a random sample and found to be 6 i 3. We may conclude that
a. there is a 99% probability that y is between 3 and 9.
b. there is a 99% probability that the