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Question
read the story. chad planted 8 sunflowers along the edge of his garden. the seed packet stated that each sunflower has an 80% chance of growing to be six feet tall, which is taller than him! how likely is it that at least 7 of the sunflowers will grow to be six feet tall? chad simulates the situation by using a computer to randomly generate 8 numbers from 1 to 10. if the number is at most 8, it represents a sunflower that is six feet tall. this table shows the results of 1,000 trials: based on chads results, what is the probability that at least 7 of the sunflowers will grow to be six feet tall?
Step1: Identify the relevant trials
Trials with at least 7 numbers at most 8 are the trials where the number of numbers at most 8 is 7 or 8.
Step2: Calculate the total number of relevant trials
The number of trials with 7 numbers at most 8 is 335, and the number of trials with 8 numbers at most 8 is 165. So the total number of relevant trials is \(335 + 165=500\).
Step3: Calculate the probability
The probability \(P=\frac{\text{Number of relevant trials}}{\text{Total number of trials}}\). The total number of trials is 1000. So \(P = \frac{500}{1000}\).
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\(50\%\)