A recent botany experiment showed a variety of results for the height of certain plants. The results followed a normal distribution with a mean of 8.4 feet and a standard deviation of 2.2 feet. Find the probability that a randomly selected plant with have a height less than 6.0 feet

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Answer: About 13.79% of the plants will have a height of less than 6.0 feet.

To answer this question, we first need to know how many standard deviations it is below the mean. That is called the z-score.

To find the z-score, we determine the difference of the expected value and the mean. Then, we divide that by the standard deviation.

(6 - 8.4) / 2.2 = -1.09

A height of 6 is -1.09 standard deviations below the mean. Looking up the probability for a z-score of -1.09 gives us a value of 13.79%.

Answer:

13.79%

Step-by-step explanation:

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