Use this table or the ALEKS calculator to complete the following. Give your answers to four decimal places (for example, 0.1234). (a) Find the area under the standard normal curve to the right of z = 1.03. (b) Find the area under the standard normal curve between z = -1.96 and z = 2.22.
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!
 or the ALEKS calculator to complete the following exercises.
**Guidance:**
- Provide your answers to four decimal places (for example, 0.1234).
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**Exercise:**
(a) Find the area under the standard normal curve to the right of \( z = 1.03 \).
[Input Answer Here]
(b) Find the area under the standard normal curve between \( z = -1.96 \) and \( z = 2.22 \).
[Input Answer Here]
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### Important Notes:
- **Standard Normal Curve:** This is a theoretical distribution that is symmetrical around the mean (µ = 0) with a standard deviation (σ) of 1. It is often used to understand probabilities and areas under the curve.
- **Z-Score:** A measure of how many standard deviations an element is from the mean.
- **Instructions for Using the Table or ALEKS Calculator:**
- The [table](#) will provide areas corresponding to specific z-scores.
- Enter the z-scores accordingly to find the desired areas.
- Use the calculator for ease and accuracy, ensuring values are finalized to four decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd290e29f-bf0a-4e13-893a-d0d06da948d8%2Fad962de3-c4e4-4cc4-bf05-e7138c2d1dc7%2Fjr2k1h8_processed.jpeg&w=3840&q=75)
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