Find the area of the shaded region for each standard normal curve (a) The shaded region has an area of _____________. ​(Round to four decimal places as​ needed.)   ​(b) The shaded region has an area of _____________. ​(Round to four decimal places as​ needed.)   ​(c) The shaded region has an area of _____________. ​(Round to four decimal places as​ needed.

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Find the area of the shaded region for each standard normal curve

(a) The shaded region has an area of _____________.
​(Round to four decimal places as​ needed.)
 
​(b) The shaded region has an area of _____________.
​(Round to four decimal places as​ needed.)
 
​(c) The shaded region has an area of _____________.
​(Round to four decimal places as​ needed.
The image contains three graphs, labeled (a), (b), and (c), each depicting a standard normal distribution curve (bell curve) with specific areas shaded in light blue.

**(a)**
- Graph (a) shows a bell curve with two vertical lines marking the z-scores at approximately -1.45 and 1.69. 
- The area between these two lines is shaded, indicating the central region of the distribution.

**(b)**
- Graph (b) depicts a similar bell curve with vertical lines at approximately -1.74 and 1.74.
- The shaded regions are outside these lines, representing the tails of the distribution.

**(c)**
- Graph (c) illustrates another bell curve with lines at approximately -0.39 and 0.39.
- The area between these lines is shaded, which shows the central portion of the curve, narrower than in (a).

These diagrams could be used to demonstrate the concept of standard deviations and the probabilities associated with different segments of a normal distribution.
Transcribed Image Text:The image contains three graphs, labeled (a), (b), and (c), each depicting a standard normal distribution curve (bell curve) with specific areas shaded in light blue. **(a)** - Graph (a) shows a bell curve with two vertical lines marking the z-scores at approximately -1.45 and 1.69. - The area between these two lines is shaded, indicating the central region of the distribution. **(b)** - Graph (b) depicts a similar bell curve with vertical lines at approximately -1.74 and 1.74. - The shaded regions are outside these lines, representing the tails of the distribution. **(c)** - Graph (c) illustrates another bell curve with lines at approximately -0.39 and 0.39. - The area between these lines is shaded, which shows the central portion of the curve, narrower than in (a). These diagrams could be used to demonstrate the concept of standard deviations and the probabilities associated with different segments of a normal distribution.
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