Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:

So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.
The product would need to be greater than 2/3.
The standard deviation of the sample proportion is:

The z-score for 0.7 is:

Reference to a standard normal distribution table shows that the probability that at least 70% of the sample prefers coke to pepsi is 0.8944 or 89.44%.
Step-by-step explanation:
2/1 = 2
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