What is the area under the normal curve for z > 1.79?
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A. B. C. D. E.E
From the z-tables, z = 1.79 is 0.4633. So 1 - 0.4633*2 = 0.0734. Since it is on each side of the curve, 0.0734/2 = 0.0367.
To determine the area under the normal curve for a given value of z, you need to refer to the standard normal distribution table, also known as the Z-table. The Z-table provides the cumulative probabilities for different values of z.
In this case, we are looking for the area under the normal curve for z > 1.79. We need to find the cumulative probability associated with the z-value of 1.79 and subtract it from 1 to find the area to the right of 1.79.
Looking up the z-value of 1.79 in the Z-table, we find that the cumulative probability associated with it is approximately 0.9631. This means that approximately 96.31% of the area under the normal curve lies to the left of z = 1.79.
To find the area to the right of z = 1.79, we subtract the cumulative probability from 1:
Area to the right of z = 1.79 = 1 - 0.9631 = 0.0369
Therefore, the area under the normal curve for z > 1.79 is approximately 0.0369.
Looking at the provided answer choices, we can see that the closest option is answer choice E: 0.0367. It is possible that there is a rounding error in the provided answers, as the correct answer should be very close to 0.0369. In this case, answer choice E is the most appropriate option.