Find the area of the indicated region under the standard normal curve.
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
The area between $z=-1.1$ and $z=1.6$ under the standard normal curve is (Round to four decimal places as needed.)
Answer
Round the final answer to four decimal places as needed. The area between $z=-1.1$ and $z=1.6$ under the standard normal curve is approximately \(\boxed{0.8095}\).
Step 1 ：The area under the standard normal curve between two points can be found by calculating the cumulative distribution function (CDF) at these points and subtracting the smaller from the larger. The CDF gives the probability that a random variable drawn from a standard normal distribution is less than or equal to a given value.
Step 2 ：Calculate the CDF at $z=1.6$, which is approximately 0.945200708300442.
Step 3 ：Calculate the CDF at $z=-1.1$, which is approximately 0.13566606094638267.
Step 4 ：Subtract the CDF at $z=-1.1$ from the CDF at $z=1.6$ to find the area under the curve between these two points. This gives us an area of approximately 0.8095346473540593.
Step 5 ：Round the final answer to four decimal places as needed. The area between $z=-1.1$ and $z=1.6$ under the standard normal curve is approximately \(\boxed{0.8095}\).
