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frozen [14]
2 years ago
9

The area between z = 1.74 and z = 1.25 Round your answer to three decimal places.

Mathematics
1 answer:
balu736 [363]2 years ago
5 0

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

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