In the US, the systolic blood pressure of a randomly selected patient has a normal distribution with a mean of 121 mmHg and a standard deviation of 10.1 mmHg. Let X be the systolic blood pressure of a randomly selected patient and let X be the average systolic blood pressure of a random sample of size 40. 1. Describe the probability distribution of X and state its parameters μ and o: X~ Select an answer (μ and find the probability that the systolic blood pressure of a randomly selected patient is between 92 and 128 mmHg. 2. Use the Central Limit Theorem Select an answer (Round the answer to 4 decimal places) to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X Select an answer (Hg = and find the probability that the average systolic blood pressure of a sample of 40 randomly selected patients is more than 125 mmHg. (Round the answer to 4 decimal places)
In the US, the systolic blood pressure of a randomly selected patient has a normal distribution with a mean of 121 mmHg and a standard deviation of 10.1 mmHg. Let X be the systolic blood pressure of a randomly selected patient and let X be the average systolic blood pressure of a random sample of size 40. 1. Describe the probability distribution of X and state its parameters μ and o: X~ Select an answer (μ and find the probability that the systolic blood pressure of a randomly selected patient is between 92 and 128 mmHg. 2. Use the Central Limit Theorem Select an answer (Round the answer to 4 decimal places) to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X Select an answer (Hg = and find the probability that the average systolic blood pressure of a sample of 40 randomly selected patients is more than 125 mmHg. (Round the answer to 4 decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![In the US, the systolic blood pressure of a randomly selected patient has a normal distribution with a mean of 121 mmHg and a standard deviation of 10.1 mmHg. Let \( X \) be the systolic blood pressure of a randomly selected patient and let \( \overline{X} \) be the average systolic blood pressure of a random sample of size 40.
1. Describe the probability distribution of \( X \) and state its parameters \( \mu \) and \( \sigma \):
\[ X \sim \]
- \(\mu = \) [input box]
- \(\sigma = \) [input box]
and find the probability that the systolic blood pressure of a randomly selected patient is between 92 and 128 mmHg.
[Dropdown menu for selecting probability distribution]
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
[Dropdown menu for selecting probability distribution]
to describe the probability distribution of \( \overline{X} \) and state its parameters \( \mu_{\overline{X}} \) and \( \sigma_{\overline{X}} \). (Round the answers to 1 decimal place)
\[ \overline{X} \sim \]
- \(\mu_{\overline{X}} = \) [input box]
- \(\sigma_{\overline{X}} = \) [input box]
and find the probability that the average systolic blood pressure of a sample of 40 randomly selected patients is more than 125 mmHg.
(Round the answer to 4 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d4f7ac3-9c18-4c25-94c6-b21c84f1f2bb%2F7c7f6627-3f18-4d57-b521-aa102a6d020f%2F0g90wu_processed.png&w=3840&q=75)
Transcribed Image Text:In the US, the systolic blood pressure of a randomly selected patient has a normal distribution with a mean of 121 mmHg and a standard deviation of 10.1 mmHg. Let \( X \) be the systolic blood pressure of a randomly selected patient and let \( \overline{X} \) be the average systolic blood pressure of a random sample of size 40.
1. Describe the probability distribution of \( X \) and state its parameters \( \mu \) and \( \sigma \):
\[ X \sim \]
- \(\mu = \) [input box]
- \(\sigma = \) [input box]
and find the probability that the systolic blood pressure of a randomly selected patient is between 92 and 128 mmHg.
[Dropdown menu for selecting probability distribution]
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
[Dropdown menu for selecting probability distribution]
to describe the probability distribution of \( \overline{X} \) and state its parameters \( \mu_{\overline{X}} \) and \( \sigma_{\overline{X}} \). (Round the answers to 1 decimal place)
\[ \overline{X} \sim \]
- \(\mu_{\overline{X}} = \) [input box]
- \(\sigma_{\overline{X}} = \) [input box]
and find the probability that the average systolic blood pressure of a sample of 40 randomly selected patients is more than 125 mmHg.
(Round the answer to 4 decimal places)
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