Find the indicated area under the standard normal curve. Between z = - 2.19 and z = 2.19 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 = -2.19 and z= 2.19 under the standard normal curve is. (Round to four decimal places as needed.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
[Click here to view page 2 of the standard normal table.](#)
2. **Calculation:**
- Look up the values corresponding to \( z = -2.19 \) and \( z = 2.19 \) in the Z-table.
- The Z-table provides the cumulative area from the left up to the z-value. For \( z = 2.19 \), it will give the cumulative area from the mean (\( z = 0 \)) to 2.19 standard deviations to the right. Similarly, you'll find the value for \( z = -2.19 \).
3. **Result:**
- Determine the total area under the standard normal curve between \( z = -2.19 \) and \( z = 2.19 \).
**Final Calculations:**
The area between \( z = -2.19 \) and \( z = 2.19 \) under the standard normal curve is \( \Box \).
*(Round to four decimal places as needed.)*
**Note:**
For accurate results, ensure correct usage of the Z-table and round off the measurement to four decimal places as instructed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf201759-f2f5-4fb2-88d5-f9356a0f1bd1%2F401b0778-9c27-4881-a269-9a55012bb796%2Fpd78h5_processed.jpeg&w=3840&q=75)
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