Part 2 of 2 (b) Find the area under the standard normal curve to the left of z= -0.94. The area to the left of z=-0.94 is -0.8264 X Ś Skip Part Recheck Try again Save For Later SL erms of Use | Privacy C

MATLAB: An Introduction with Applications
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Part 2 of 2

(b) Find the area under the standard normal curve to the left of \( z = -0.94 \).

The area to the left of \( z = -0.94 \) is \[ \underline{ -0.8264 } \] .

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(Note: The value given in the answer box \(-0.8264\) appears to be incorrect as indicated by the red 'x' mark.)

### Explanation
In this problem, you are asked to find the area under the standard normal distribution curve to the left of a given z-score (\( z = -0.94 \)). The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. 

The area under the curve to the left of a z-score represents the cumulative probability of obtaining a value less than that z-score. This is typically found using standard normal distribution tables or statistical software which enables you to find the cumulative probability associated with a specific z-score. For \( z = -0.94 \), the correct value should be positive and would be found using one of these methods.

If the value were calculated correctly, it should be approximately 0.1736, not a negative value. This area represents the cumulative probability from the far left of the curve to the point where \( z = -0.94 \).
Transcribed Image Text:Part 2 of 2 (b) Find the area under the standard normal curve to the left of \( z = -0.94 \). The area to the left of \( z = -0.94 \) is \[ \underline{ -0.8264 } \] . Buttons available: - X (Close) - Recheck - Try again - Skip Part - Save For Later - Submit (Note: The value given in the answer box \(-0.8264\) appears to be incorrect as indicated by the red 'x' mark.) ### Explanation In this problem, you are asked to find the area under the standard normal distribution curve to the left of a given z-score (\( z = -0.94 \)). The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. The area under the curve to the left of a z-score represents the cumulative probability of obtaining a value less than that z-score. This is typically found using standard normal distribution tables or statistical software which enables you to find the cumulative probability associated with a specific z-score. For \( z = -0.94 \), the correct value should be positive and would be found using one of these methods. If the value were calculated correctly, it should be approximately 0.1736, not a negative value. This area represents the cumulative probability from the far left of the curve to the point where \( z = -0.94 \).
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