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
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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)
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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