e-Statistics

Guide to Worksheet 3-4

Worksheet No.3. The objective of worksheet No.3 is (i) to understand the idea of probability and frequency functions and (ii) to learn how to calculate the chance of the event of your interest.

Use the concept of random variable effectively in order to find a specific probability [1,2]. What should be introduced as a random variable in Problem 2? In Problem 2(d), how do you express ``the demand exceeds the supply (8 copies)'' in terms of ?
Can you recognize a ``binomial experiment'' in [3,4,5]? What do you count as ``successes''? For example in Problem 4, what is the ``success'' when you are counting the number of cars failing the inspection? What is the probability of success in this context?

Worksheet No.4. Here you are asked to show how you can apply the concept of normal distribution, critical point, and the central limit theorem in various problems.

Identify the mean and the standard deviation parameter of normal distribution, and find the probability involving a normal random variable . [1-5]
Show how and when the critical point should be used. [2de,3b]
Show how you can determine the distribution for the average $\bar{X}$ by using central limit theorem, and use it to compute the probability involving the average $\bar{X}$ . [4b,5b]