In the US, the systolic blood pressure of a randomly selected patient has an unknown distribution with a mean of 123 mmHg and a standard deviation of 16.4 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 41. 1. Describe the probability distribution of X and state its parameters μ and o: X unknown (μ123, 0: 16.4✓ and find the probability that the systolic blood pressure of a randomly selected patient is more than 144 mmHg. 0.0000 X (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the sample size is large (n>30) although the distribution of the original population is unknown to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~N (μX [123₁0x= 2.6 and find the probability that the average systolic blood pressure of a sample of 41 randomly selected patients is between 116 and 121 mmHg. 0.2143 x (Round the answer to 4 decimal places)

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Question 7
Madani
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In the US, the systolic blood pressure of a randomly selected patient has an unknown distribution with a
mean of 123 mmHg and a standard deviation of 16.4 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 41.
1. Describe the probability distribution of X and state its parameters μ and σ:
X~ unknown
(μ=123
and find the probability that the systolic blood pressure of a randomly selected patient is more than 144
mmHg.
2. Use the Central Limit Theorem
22.
0.0000 X (Round the answer to 4 decimal places)
o 16.4
X ~N
the sample size is large (n>30) although the distribution of the original population is unknown
to describe the probability distribution of X and state its parameters
decimal place)
and ox: (Round the answers to 1
(x = 123
and find the probability that the average systolic blood pressure of a sample of 41 randomly selected
patients is between 116 and 121 mmHg.
0.2143 x (Round the answer to 4 decimal places)
ox
= 2.6
Transcribed Image Text:Question 7 Madani only answer boxed In the US, the systolic blood pressure of a randomly selected patient has an unknown distribution with a mean of 123 mmHg and a standard deviation of 16.4 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 41. 1. Describe the probability distribution of X and state its parameters μ and σ: X~ unknown (μ=123 and find the probability that the systolic blood pressure of a randomly selected patient is more than 144 mmHg. 2. Use the Central Limit Theorem 22. 0.0000 X (Round the answer to 4 decimal places) o 16.4 X ~N the sample size is large (n>30) although the distribution of the original population is unknown to describe the probability distribution of X and state its parameters decimal place) and ox: (Round the answers to 1 (x = 123 and find the probability that the average systolic blood pressure of a sample of 41 randomly selected patients is between 116 and 121 mmHg. 0.2143 x (Round the answer to 4 decimal places) ox = 2.6
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