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On January 1 of every year, many people watch the Rose Parade on television. The week before the parade is very busy for float builders and decorators. Roses, carnations, and other flowers are purchased from around the world to decorate the floats. Based on past experience, one float decorator found that 10% of the bundles of roses delivered will not open in time for the parade, 20% of the bundles of roses delivered will have bugs on them and be unusable, 60% of the bundles of roses will turn out to be beautiful, and the rest of the bundles of roses delivered will bloom too early and start to discolor before January 1. Conduct a simulation to estimate how many roses the float decorator will need to purchase to have 15 good bundles of roses to place on the float.

Describe how you will use a random number table to conduct this simulation.

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On January 1 of every year, many people watch the Rose Parade on television. The week before the parade is very busy for float builders and decorators. Roses, carnations, and other flowers are purchased from around the world to decorate the floats. Based on past experience, one float decorator found that 10% of the bundles of roses delivered will not open in time for the parade, 20% of the bundles of roses delivered will have bugs on them and be unusable, 60% of the bundles of roses will turn out to be beautiful, and the rest of the bundles of roses delivered will bloom too early and start to discolor before January 1. Conduct a simulation to estimate how many roses the float decorator will need to purchase to have 15 good bundles of roses to place on the float.

Show three trials by clearly labeling the random number table given below. Specify the outcome for each trial.

37542 04805 64894 74296 24805 24037 20636 10402 00822

08422 68953 19645 09303 23209 02560 15953 34764 35080

99019 02529 09376 70715 38311 31165 88676 74397 04436

12807 99970 80157 36147 64032 36653 98951 16877 12171

Digits 3 - 8 are designated to be beautiful roses.
37542 04805 64894 74296 24805 24037 20636 10402 00822
++++X X++X+ +++X+ ++XX+ X+| end of trial 1: 22 bundles needed to get 15 OK

08422 68953 19645 09303 23209 02560 15953 34764 35080
X++XX ++X++ XX+++ XX+X+ X+XXX XX++X X+| end of trial 2: 32 bundles needed

99019 02529 09376 70715 38311 31165 88676 74397 04436
XXXXX XX+XX XX+++ +X+X+ +++XX +XX++ ++| end of trial 3: 32 bundles needed

12807 99970 80157 36147 64032 36653 98951 16877 12171

On January 1 of every year, many people watch the Rose Parade on television. The week before the parade is very busy for float builders and decorators. Roses, carnations, and other flowers are purchased from around the world to decorate the floats. Based on past experience, one float decorator found that 10% of the bundles of roses delivered will not open in time for the parade, 20% of the bundles of roses delivered will have bugs on them and be unusable, 60% of the bundles of roses will turn out to be beautiful, and the rest of the bundles of roses delivered will bloom too early and start to discolor before January 1. Conduct a simulation to estimate how many roses the float decorator will need to purchase to have 15 good bundles of roses to place on the float.

State your conclusion.

It required 22 bundles in Trial 1, 32 bundles in trial 2, and 32 bundles in trial 3 to obtain 15 bundles of beautiful roses for the float. The estimate of the number of bundles needed is the average, or 28.7 bundles.
According to this simulation, the float decorator will need to purchase at least 32 bundles of roses to be sure of obtaining 15 bundles of beautiful roses for the float.

Thanks for your help!