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Answer :
Final Answer:
The area under the standard normal distribution curve between z = 1.37 and z = 2.41 is approximately 0.0925.
Explanation:
To find the area under the standard normal distribution curve between z = 1.37 and z = 2.41, we first need to use a standard normal distribution table or calculator. These tools provide the cumulative probability associated with a given z-score. In this case, we want to find P(1.37 < z < 2.41), which represents the area between these two z-scores.
Using a standard normal distribution table or calculator, we find that P(1.37 < z < 2.41) is approximately 0.0925 when rounded to four decimal places. This means that about 9.25% of the data falls within this range on a standard normal distribution curve.
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Final answer:
The area under the standard normal distribution curve between z = 1.37 and z = 2.41 is approximately 0.0780.
Explanation:
To find the area under the standard normal distribution curve between z = 1.37 and z = 2.41, we need to find the cumulative probability associated with each z-score and subtract them. Using a standard normal distribution table or calculator, we can find the cumulative probability for z = 1.37 and z = 2.41, which are approximately 0.9147 and 0.9927 respectively. Subtracting the two values gives us the area between the two z-scores, which is 0.9927 - 0.9147 = 0.0780. Therefore, the area under the standard normal distribution curve between z = 1.37 and z = 2.41 is approximately 0.0780.
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