Chapter 5.1, Problem 5.13E

(a)

To determine

To explain how would we use the simple random sample applet to perform the task and can the applet be used in more than one way to carry out any of these tasks.

Explanation of Solution

The task is flipping a coin.

When flipping a coin, it is possible to toss heads or to toss tails.

Let $1=\text{Heads and 2=Tails}$ . Set the population size be two and let the sample be size one.

If you then click on “sample”, the applet will generate one possible coin toss. Repeatedly generating a sample will allow us to generate a larger sample and thus a larger number of coin tosses.

(b)

To determine

To explain how would we use the simple random sample applet to perform the task and can the applet be used in more than one way to carry out any of these tasks.

Explanation of Solution

The task is shuffle a deck of $52$ cards.

When drawing a card from a shuffled deck of $52$ cards, there are $52$ possible cards to select.

Let $1=\text{Ace of hearts, 2=Two of hearts, }\mathrm{....}\text{, 52=King of Spades}$ . Set the population size be $52$ and let the sample size be one.

If you then click on the “sample”, the applet will generate one possible card. Repeatedly generating a sample will allow us to generate a larger sample and thus a larger number of random cards.

(c)

To determine

To explain how would we use the simple random sample applet to perform the task and can the applet be used in more than one way to carry out any of these tasks.

Explanation of Solution

The task is pick a jury of $12$ people from a small town with the population of $500$ adult citizen.

We want to pick a jury of $12$ people from a small town with the population of $500$ adult citizen.

Let us number the $500$ people from $1\text{ to 500}$ , set the population size be $500$ and let the sample size be $12$ .

If you then click on the “sample”, the applet will generate one possible jury of $12$ people.