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Assume the random variable X is normally distributed with mean = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(53≤x≤68) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53 ≤x≤68)? QA OB. C OG

Assume the random variable X is normally distributed with mean = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(53≤x≤68) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(53 ≤x≤68)? QA OB. C OG

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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# Tables of Areas under the Normal Curve The image contains a standard normal distribution table, often referred to as a Z-table. This table displays the cumulative probability or the area under the curve to the left of a given Z-score in a standard normal distribution. ## Diagram Description On the top left corner, there is a diagram of a normal distribution curve. The shaded area under the curve represents the cumulative probability up to a certain Z-score, depicted on the horizontal axis. The point on the axis is labeled as "z", indicating where the area is calculated. ## Standard Normal Distribution Table (Table V) The table shows cumulative probabilities associated with Z-scores. The values represent the area under the normal curve to the left of the corresponding Z-score. ### Table Layout - **Rows and Columns:** - The leftmost column lists Z-scores in increments of 0.1 from -3.4 to 3.4. - The top row provides decimal increments (from 0.00 to 0.09) to be added to the Z-scores listed in the rows. ### Example of Table Use To find the cumulative probability for a Z-score of 1.23: 1. Locate the row for 1.2. 2. Move to the column under 0.03. 3. The intersecting cell contains the cumulative probability: **0.8907**. This probability indicates that approximately 89.07% of the data in a standard normal distribution is below a Z-score of 1.23. This table is a crucial tool for conducting statistical analysis, especially in fields such as psychology, finance, and any domain that relies on probabilistic models.
Transcribed Image Text:# Tables of Areas under the Normal Curve The image contains a standard normal distribution table, often referred to as a Z-table. This table displays the cumulative probability or the area under the curve to the left of a given Z-score in a standard normal distribution. ## Diagram Description On the top left corner, there is a diagram of a normal distribution curve. The shaded area under the curve represents the cumulative probability up to a certain Z-score, depicted on the horizontal axis. The point on the axis is labeled as "z", indicating where the area is calculated. ## Standard Normal Distribution Table (Table V) The table shows cumulative probabilities associated with Z-scores. The values represent the area under the normal curve to the left of the corresponding Z-score. ### Table Layout - **Rows and Columns:** - The leftmost column lists Z-scores in increments of 0.1 from -3.4 to 3.4. - The top row provides decimal increments (from 0.00 to 0.09) to be added to the Z-scores listed in the rows. ### Example of Table Use To find the cumulative probability for a Z-score of 1.23: 1. Locate the row for 1.2. 2. Move to the column under 0.03. 3. The intersecting cell contains the cumulative probability: **0.8907**. This probability indicates that approximately 89.07% of the data in a standard normal distribution is below a Z-score of 1.23. This table is a crucial tool for conducting statistical analysis, especially in fields such as psychology, finance, and any domain that relies on probabilistic models.
**Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.** \( P(53 \leq X \leq 68) \) *Click the icon to view a table of areas under the normal curve.* --- **Which of the following normal curves corresponds to \( P(53 \leq X \leq 68) \)?** - **Option A**: Graph shows a normal distribution curve with a small shaded area between 53 and 68. - **Option B**: Graph shows a normal distribution curve with a small shaded area between 50 and 68. - **Option C**: Graph shows a normal distribution curve with a larger shaded area between 50 and 68 compared to option A. --- \( P(53 \leq X \leq 68) = \) [ ] *(Round to four decimal places as needed.)*
Transcribed Image Text:**Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.** \( P(53 \leq X \leq 68) \) *Click the icon to view a table of areas under the normal curve.* --- **Which of the following normal curves corresponds to \( P(53 \leq X \leq 68) \)?** - **Option A**: Graph shows a normal distribution curve with a small shaded area between 53 and 68. - **Option B**: Graph shows a normal distribution curve with a small shaded area between 50 and 68. - **Option C**: Graph shows a normal distribution curve with a larger shaded area between 50 and 68 compared to option A. --- \( P(53 \leq X \leq 68) = \) [ ] *(Round to four decimal places as needed.)*
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Step 1: Write the given information.

From the given information,

mu equals 50 sigma equals 7


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