Exercise 4.1

1.

Let X denote the number of aces in a 2 card hand drawn without replacement fro a standard deck 0f 52 cards. What is the range of X? Is it discrete or continuous?

2.

In the last problem, let Y denote the average area of the two dealt cards. Assume that we can measure area infinitely precise. What is the range of Y? Is it discrete or continuous?

3.

In the urn problem discussed above, let Z denote the number of red balls in the sample (without replacement) of size 3. What is the range of Z? Is it discrete or continuous?

4.

Let X denote the temperature at noon in Kalamazoo in centigrade. What is the range of X? Is it discrete or continuous?

5.

Let X denote the number of people in a queue at a bank teller's window. What is the range of X? Is it discrete or continuous?