Chapter 5.1, Problem 17E

(a)

To determine

To explain whether each of the following simulation designs is valid or not and justify.

Answer to Problem 17E

It is valid.

Explanation of Solution

The simulation given in the question is valid.

It is valid because if you roll a $1,2\text{ or 3}$ then the person recycles which corresponds with $3\text{ out of 4}$ possible outcomes. Then this implies;

  $\begin{array}{l}\frac{3}{4}=0.75\\ =75\%\end{array}$

Thus the simulation represents a sample with a probability of $75\%$ that a person recycles.

(b)

To determine

To explain whether each of the following simulation designs is valid or not and justify.

Answer to Problem 17E

It is not valid.

Explanation of Solution

The simulation given in the question is not valid.

This is not a valid simulation because the coin has a $50$ percent chance of landing heads as opposed to the $60$ percent chance of hitting the target.

Thus the given simulation is not valid.