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: 123 16.4 X~N |x 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 (fe 0.1002 x (Round the answer to 4 decimal places) the original population is normally distributed X to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~N (HX = σχ 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) 123

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