Find the indicated probability using the standard normal distribution. P(z<0.87) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. P(z<0.87) = (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 Probability Using the Standard Normal Distribution**
**Task:**
Calculate the indicated probability using the standard normal distribution.
**Problem:**
\[ P(z < 0.87) \]
**Instructions:**
1. **Access the Standard Normal Table:**
- [Click here to view page 1 of the standard normal table.](#)
- [Click here to view page 2 of the standard normal table.](#)
2. **Calculation:**
- Determine \( P(z < 0.87) \) using the standard normal table.
- Round your answer to four decimal places as needed.
**Input:**
Enter your answer in the provided answer box and click "Check Answer" to validate.
Feel free to use the links to the standard normal table to look up the corresponding probabilities. This activity helps reinforce understanding of normal distribution and how to interpret Z-scores.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7218640-a774-45e5-abf7-0db0957362b6%2Ff837822b-f2d1-487a-86db-c7050f86cc2f%2Ffgjacfk.jpeg&w=3840&q=75)
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