In the US, the systolic blood pressure of a randomly selected patient has unknown distribution with a mean of 116 mmHg and a standard deviation of 19.7 mmHg. Let XX be the systolic blood pressure of a randomly selected patient and let ¯¯¯XX¯ be the average systolic blood pressure of a random sample of size 35. 1. Describe the probability distribution of XX and state its parameters μμ and σσ: X∼X∼ ( μ=μ= , σ=σ= ) and find the probability that the systolic blood pressure of a randomly selected patient is less than 120 mmHg. (If you can find the probability given the information above, round your answer to 3 decimal places. If you cannot find the probability given the information above, enter "DNE".) 2. Use the Central Limit Theorem because... to describe the probability distribution of ¯¯¯XX¯ and state its parameters μ¯¯¯XμX¯ and σ¯¯¯XσX¯: (Round the answers to 1 decimal place) ¯¯¯X∼X¯∼ ( μ¯¯¯X=μX¯= , σ¯¯¯X=σX¯= ) and find the probability that the average systolic blood pressure of a sample of 35 randomly selected patients is between 114 and 117 mmHg.
1. Describe the probability distribution of XX and state its parameters μμ and σσ:
X∼X∼ ( μ=μ= , σ=σ= )
and find the probability that the systolic blood pressure of a randomly selected patient is less than 120 mmHg.
(If you can find the probability given the information above, round your answer to 3 decimal places. If you cannot find the probability given the information above, enter "DNE".)
2. Use the Central Limit Theorem because...
to describe the probability distribution of ¯¯¯XX¯ and state its parameters μ¯¯¯XμX¯ and σ¯¯¯XσX¯: (Round the answers to 1 decimal place)
¯¯¯X∼X¯∼ ( μ¯¯¯X=μX¯= , σ¯¯¯X=σX¯= )
and find the probability that the average systolic blood pressure of a sample of 35 randomly selected patients is between 114 and 117 mmHg.
(Round the answer to 3 decimal places. If the answer rounds to fewer decimals, add 0's at the end. For example, if the answer is 0.5, type in 0.500.)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images