Question

(c) find the area under the normal curve to the left of (z = -0.25) plus the area under the normal curve to the right of (z = 1.10).

the combined area is .
(round to four decimal places as needed.)

Explanation:

⚡ Using what you learned: normal distribution

Step 1: Find the area to the left of \( z = -0.25 \)

Using a standard normal distribution table (or calculator):

$$ P(Z < -0.25) = 0.4013 $$

Step 2: Find the area to the right of \( z = 1.10 \)

Using the complement rule:

$$ P(Z > 1.10) = 1 - P(Z < 1.10) $$

$$ P(Z > 1.10) = 1 - 0.8643 = 0.1357 $$

Step 3: Calculate the combined area

Sum the two individual areas:

$$ \text{Combined Area} = 0.4013 + 0.1357 = 0.5370 $$

Answer:

0.5370