Sugar Bombs cereal is including a Sherlock Holmes action-figure in each box during a promotion. Claire plans to purchase boxes until she has all five action-figures. How many boxes should she expect to buy if each figure is equally likely to be in any box??
a. Describe how you will use a random number table to conduct this simulation.
b. Show five trials by clearly labeling the random number table given below. Specify the outcome of each trial.
73184 95907 05179 51002 83374 52297 07769 99792 78365 93487 72753 36216 07230 35793 71907 65571 66784 25548 91861 15725
c. State your conclusion.
Answer:
Part a: Ignoring those that are bigger than 4.
Part b: labeling the random number.
Part c: conclusion, Claire should plan to purchase 12 boxes.
Describe the term random number table.
A table of digits is a random number table.
The numbers 1, 2, 3,4,5,6,7,8,9,0 were used as the starting point for the random procedure that selected the digit for each location in the table.
Each digit had an equal chance of being selected.
Part a: random number table;
Let each of five trials figures be represented by a number from 0 to 4.
Pick digits at random from a table of numbers, ignoring those that are bigger than 4.
Determine how many digits (0–4) from the table—including repeats—are required to get all five numbers—one try, like this.
Part b: labeling the random number.
7318495907 05179 51002(10 boxes) 8337452297 07769 99792 78365 9348772753 36216 (15 boxes) 07230 35793 71907 65571 66784(10 boxes) 25548 91861 15725.
Part c: conclusion,
On average, Claire should plan to purchase 12 boxes.
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