Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area. -2.08 The area of the shaded region 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!
![**Finding the Area Under the Standard Normal Curve**
To determine the area of the shaded region under the standard normal curve, use technology for precise calculation.
**Diagram Explanation:**
- The diagram shows a standard normal distribution curve, which is symmetrical and bell-shaped.
- The x-axis is labeled with 'z', indicating z-scores.
- The shaded region lies between the z-scores of -2.08 and 0.
- The peak of the curve is at z = 0, indicating the mean of the standard normal distribution.
**Task:**
Calculate the area of the shaded region using a z-table or statistical software.
**Instruction:**
Enter the calculated area, rounded to four decimal places, in the space provided: [ ].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42bf7ffe-2597-44f5-b319-7a88526dd656%2Fc512a42b-a0f4-4d6b-8562-2545aeffb03c%2Fpuk5xck_processed.jpeg&w=3840&q=75)
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