Chapter 11, Problem 20E

To determine

To Explain: the argument on a simulation having minimum 10 trials on the basis of given information.

Explanation of Solution

With at least 10 trials 

Step 1

The component is the speaking quiz simulation. 

Step 2

there is required to produce random digits from 0 to 9 for simulation. Let digits 0 show right answers and let digits 1-3 be incorrect answers and let digits 4-9 be ignored.

 Step 3

The variable responsible is whether all 6 simulated questions are correctly answered or not.

Step 4

there is required minimum 10 trials to run the simulation process, and each trial consists of 6 random digits that can be used. By using random number generators, there is produce random numbers using the following steps:

1) As per our needs, add random numbers.

2) Depending on random numbers, between 0 and 9

3) Press the Submit key.

Trial Number	Component Outcomes	All Correct
1	545451	no
2	121	no
3	7878745	no
4	545415878	no
5	545454	no
6	4848	no
7	854854	no
8	8548	no
9	6514	no
10	457	no

Step 5

All 6 questions are correctly answered are: there is required to find simulated probability:

  $\begin{array}{c}All6questionsright\left(\%\right)=\frac{totalnumberofsuccess}{totalnumberoftrials}\times 100\\ =\frac{0}{10}\times 100\\ =0\%\end{array}$

On average, 0 per cent of all 6 questions are correctly answered.

 Step 6

it could be assuming on the basis of the simulation that the low likelihood is the product of our friends not telling the facts.