91Ó°ÊÓ

Define the following terms: experiment, outcome, sample space, simple event, and compound event.

List the simple events for each of the following statistical experiments in a sample space. a. One roll of a die b. Three tosses of a coin c. One toss of a coin and one roll of a die

A box contains three items that are labeled \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\). Two items are selected at random (without replacement) from this box. List all the possible outcomes for this experiment. Write the sample space.

Two students are randomly selected from a statistics class, and it is observed whether or not they suffer from math anxiety. How many total outcomes are possible? Draw a tree diagram for this experiment.

In a group of adults, some own iPads, and others do not. If two adults are randomly selected from this group, how many total outcomes are possible? Draw a tree diagram for this experiment.

An automated teller machine at a local bank is stocked with \(\$ 10\) and \(\$ 20\) bills. When a customer withdraws \(\$ 40\) from the machine, it dispenses either two \(\$ 20\) bills or four \(\$ 10\) bills. If two customers withdraw \(\$ 40\) each, how many outcomes are possible? Draw a tree diagram for this experiment.

In a group of adults, some own iPads, and others do not. Two adults are randomly selected from this group. List all the outcomes included in each of the following events. Indicate which are simple and which are compound events. a. One person owns an iPad and the other does not. b. At least one person owns an iPad. c. Not more than one person owns an iPad. d. The first person owns an iPad and the second does not.

An automated teller machine at a local bank is stocked with \(\$ 10\) and \(\$ 20\) bills. When a customer withdraws \(\$ 40\) from this machine, it dispenses either two \(\$ 20\) bills or four \(\$ 10\) bills. Two customers withdraw \(\$ 40\) each. List all of the outcomes in each of the following events and mention which of these are simple and which are compound events. a. Exactly one customer receives \(\$ 20\) bills. b. Both customers receive \(\$ 10\) bills. c. At most one customer receives \(\$ 20\) bills. d. The first customer receives \(\$ 10\) bills and the second receives \(\$ 20\) bills.

Briefly explain for what kind of experiments we use the classical approach to calculate probabilities of events and for what kind of experiments we use the relative frequency approach.

Which of the following values cannot be the probability of an event and why? $$ \begin{array}{llllllll} 2.4 & 3 / 8 & -.63 & .55 & 9 / 4 & -2 / 9 & 1.0 & 12 / 17 \end{array} $$