EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
6th Edition
ISBN: 9781319287573
Author: Starnes
Publisher: MPS PUB
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Chapter 5, Problem T5.14SPT

(a)

To determine

To describe how you would use a table of random digits to perform the simulation.

(a)

Expert Solution
Check Mark

Explanation of Solution

In the question it is given that 17% of the vehicles passing the tollbooth have out-of-state plates, while we are interested in the number of the vehicles that pass through until two vehicles with out-of-state plates are observed. Thus, we have,

  17%=0.17=17100

Now, we will choose a row from the random digits table. Then, we will select the first two-digit number. If the digit is between 00 and 16 (including) then the vehicle has out-of-state plates else the vehicle does not have out-of-state plates.

This process will be repeated until we have obtained two vehicles that have out-of-state plates. Then we will keep the track of the number of trials required until two vehicles had out-of-state plates.

(b)

To determine

To perform three trials of simulations using the random digits given in the question.

(b)

Expert Solution
Check Mark

Answer to Problem T5.14SPT

First trial: require three vehicles.

Second trial: required 14 vehicles.

Third trial: required 13 vehicles.

Explanation of Solution

In the question it is given that 17% of the vehicles passing the tollbooth have out-of-state plates, while we are interested in the number of the vehicles that pass through until two vehicles with out-of-state plates are observed. Thus, we have,

  17%=0.17=17100

Thus, the given rows from the random digits given in the tables are as:

  41050,92031,06449,05059,59884,31880,53115,84469,94868,57967,05811,84514,84177,06757,17613,15582,51506,81435

Now, we will do first trial,

We will select the first two-digit number. If the digit is between 00 and 16 (including) then the vehicle has out-of-state plates else the vehicle does not have out-of-state plates. This process will be repeated until we have obtained two vehicles that have out-of-state plates.

  41 Vehicles does not have out-of-state plates05 Vehicles has out-of-state plates09 Vehicles has out-of-state plates

Then, we note that we require three vehicles until we obtain two vehicles with out-of-state plates.

Now, we will do second trial as,

We will select the first two-digit number. If the digit is between 00 and 16 (including) then the vehicle has out-of-state plates else the vehicle does not have out-of-state plates. This process will be repeated until we have obtained two vehicles that have out-of-state plates.

  20 Vehicles does not have out-of-state plates31 Vehicles does not have out-of-state plates06 Vehicles has out-of-state plates44 Vehicles does not have out-of-state plates90 Vehicles does not have out-of-state plates50 Vehicles does not have out-of-state plates59 Vehicles does not have out-of-state plates59 Vehicles does not have out-of-state plates88 Vehicles does not have out-of-state plates43 Vehicles does not have out-of-state plates18 Vehicles does not have out-of-state plates80 Vehicles does not have out-of-state plates53 Vehicles does not have out-of-state plates11 Vehicles has out-of-state plates

We then note that we required 14 vehicles until we obtain two vehicle with out-of-state plates.

Now, we will do third trial as,

We will select the first two-digit number. If the digit is between 00 and 16 (including) then the vehicle has out-of-state plates else the vehicle does not have out-of-state plates. This process will be repeated until we have obtained two vehicles that have out-of-state plates.

  58 Vehicles does not have out-of-state plates44 Vehicles does not have out-of-state plates69 Vehicles does not have out-of-state plates94 Vehicles does not have out-of-state plates86 Vehicles does not have out-of-state plates85 Vehicles does not have out-of-state plates79 Vehicles does not have out-of-state plates67 Vehicles does not have out-of-state plates05 Vehicles has out-of-state plates81 Vehicles does not have out-of-state plates18 Vehicles does not have out-of-state plates45 Vehicles does not have out-of-state plates14 Vehicles has out-of-state plates

We then note that we required 13 vehicles until we obtain two vehicles with out-of-state plates.

Chapter 5 Solutions

EBK PRACTICE OF STAT.F/AP EXAM,UPDATED

Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Prob. 62ECh. 5.3 - Prob. 63ECh. 5.3 - Prob. 64ECh. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - Prob. 67ECh. 5.3 - Prob. 68ECh. 5.3 - Prob. 69ECh. 5.3 - Prob. 70ECh. 5.3 - Prob. 71ECh. 5.3 - Prob. 72ECh. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.3 - Prob. 79ECh. 5.3 - Prob. 80ECh. 5.3 - Prob. 81ECh. 5.3 - Prob. 82ECh. 5.3 - Prob. 83ECh. 5.3 - Prob. 84ECh. 5.3 - Prob. 85ECh. 5.3 - Prob. 86ECh. 5.3 - Prob. 87ECh. 5.3 - Prob. 88ECh. 5.3 - Prob. 89ECh. 5.3 - Prob. 90ECh. 5.3 - Prob. 91ECh. 5.3 - Prob. 92ECh. 5.3 - Prob. 93ECh. 5.3 - Prob. 94ECh. 5.3 - Prob. 95ECh. 5.3 - Prob. 96ECh. 5.3 - Prob. 97ECh. 5.3 - Prob. 98ECh. 5.3 - Prob. 99ECh. 5.3 - Prob. 100ECh. 5.3 - Prob. 101ECh. 5.3 - Prob. 102ECh. 5.3 - Prob. 103ECh. 5.3 - Prob. 104ECh. 5.3 - Prob. 105ECh. 5.3 - Prob. 106ECh. 5.3 - Prob. 107ECh. 5.3 - Prob. 108ECh. 5 - Prob. R5.1RECh. 5 - Prob. R5.2RECh. 5 - Prob. R5.3RECh. 5 - Prob. R5.4RECh. 5 - Prob. R5.5RECh. 5 - Prob. R5.6RECh. 5 - Prob. R5.7RECh. 5 - Prob. R5.8RECh. 5 - Prob. T5.1SPTCh. 5 - Prob. T5.2SPTCh. 5 - Prob. T5.3SPTCh. 5 - Prob. T5.4SPTCh. 5 - Prob. T5.5SPTCh. 5 - Prob. T5.6SPTCh. 5 - Prob. T5.7SPTCh. 5 - Prob. T5.8SPTCh. 5 - Prob. T5.9SPTCh. 5 - Prob. T5.10SPTCh. 5 - Prob. T5.11SPTCh. 5 - Prob. T5.12SPTCh. 5 - Prob. T5.13SPTCh. 5 - Prob. T5.14SPT
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