EXAMPLE 28Case 1: Find the area to the left of a value of

Find the area to the left of .

Solution

  • Step 1 First draw the standard normal curve and label .
  • Step 2 Shade the area to the left of 0.57, as shown in Figure 28.
  • Step 3 In the table, excerpted as Figure 29, go down the left-hand column to 0.5 and select that row. Then go across the top row (representing the hundredth's digit) to 0.07 and select that column. The quantity at the intersection of this row and column represents the area to the left of . That is, the area to the left of is 0.7157.
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    Figure 6.30: FIGURE 28 Finding the area to the left of

NOW YOU CAN DO

Exercises 37–44.

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Figure 6.31: FIGURE 29 Using the table to find the area to the left of .