# Probability

Probability 150 150 Affordable Capstone Projects Written from Scratch

Use the Random Number Table E.1 from Page 544 of the textbook to simulate the selection of different-colored balls from an urn, as follows:

i. Start in the row corresponding to the day of the month in which you were born plus the last two digits of the year in which you were born. For example, if you were born October 3, 1990, you would start in row 93 (3 + 90). If your total exceeds 100, subtract 100 from the total.

ii. Select two-digit random numbers.

iii. If you select a random number from 00 to 94, consider the ball to be white; if the random number is from 95 to 99, consider the ball to be red.

Each student is to select 100 two-digit random numbers and report the number of “red balls” in the sample. Construct a control chart for the proportion of red balls.

a. What conclusions can you draw about the system of selecting red balls?

b. Are all the students part of the system?

c. Is anyone outside the system? If so, what explanation can you give for someone who has too many red balls?

d. If a bonus were paid to the top 10% of the students (the 10% with the fewest red balls), what effect would that have on the rest of the students? Discuss.

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