Question
(1) According to a study, the time between taking a pain reliever and getting relief is normally distributed with a mean of 44 minutes and
(1) According to a study, the time between taking a pain reliever and getting relief is normally distributed with a mean of 44 minutes and a standard deviation of 10 minutes. LetXbe the time between taking a pain reliever and getting relief.
- Describe the probability distribution ofX and state its parametersand:is Select an answer F B T N Correct (= ,= )
- Find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is
- less than 61 minutes. (Round the answer to 4 decimal places)
- between 22 and 72 minutes. (Round the answer to 4 decimal places)
- more than 62 minutes. (Round the answer to 4 decimal places)
(2) In the US, the systolic blood pressure is normally distributed with a mean of 125 mmHg and a standard deviation of 28.5 mmHg. LetXbe the systolic blood pressure of a randomly selected patient.
- Describe the probability distribution ofX and state its parametersand:is Select an answer N T B F Correct (= ,= )
- Find the probability that the systolic blood pressure of a randomly selected patient is
- less than 110 mmHg. (Round the answer to 4 decimal places)
- between 104 and 207 mmHg. (Round the answer to 4 decimal places)
- more than 129 mmHg. (Round the answer to 4 decimal places)
(3) Assume that IQ scores are normally distributed with a mean 99.6 pts and a standard deviation of 11.4 pts. LetXbe the IQ score of a randomly selected person.
1. Describe the probability distribution ofX and state its parametersand:
~ Select an answer B Z N T F Correct (= Correct,= Correct)
2. Find the probability that the IQ score of a randomly selected person is
- less than 69.6 pts. Correct (Round the answer to 4 decimal places)
- between 116.9 and 129.3 pts. Incorrect(Round the answer to 4 decimal places)
- more than 115.7 pts. Incorrect(Round the answer to 4 decimal places)
3. Find the 45-th percentile for the IQ score. Correct pts (Round the answer to 1 decimal place)
(4) According to a study, the length of pregnancy is normally distributed with a mean of 268 days and a standard deviation of 15.8 days. Let X be the length of pregnancy for a randomly selected female.1. Describe the probability distribution of X and state its parameters and : X ~ Select an answer B T F N Z Correct ( = Correct, = Correct)2. Find the probability that the length of pregnancy for a randomly selected female is
- less than 308 days. Correct (Round the answer to 4 decimal places)
- between 279 and 285 days. Correct (Round the answer to 4 decimal places)
- more than 314 days. Correct (Round the answer to 4 decimal places)
3. Find the 10-th percentile for the length of pregnancy. Incorrect days (Round the answer to 1 decimal place)
(5) According to a market research, the spendings of mall shoppers are normally distributed with a mean of 103.4 dollars and a standard deviation of 22 dollars. Let X be the spending of a randomly selected shopper.1. Describe the probability distribution of X and state its parameters and : X ~ Select an answer N F T Z B Correct ( = Correct, = Correct)2. Find the probability that the spending of a randomly selected shopper is
- less than 146 dollars. Incorrect (Round the answer to 4 decimal places)
- between 142 and 165 dollars. Correct (Round the answer to 4 decimal places)
- more than 152 dollars. Correct (Round the answer to 4 decimal places)
3. Find the 30-th percentile for the spendings of mall shoppers. Incorrect dollars (Round the answer to 1 decimal
(6) According to a study, the salaries of registered nurses are normally distributed with a mean of 55140 dollars and a standard deviation of 6563 dollars. Let X be the salary of a randomly selected registered nurse.1. Describe the probability distribution of X and state its parameters and : X ~ Select an answer N B Z F T ( = , = )2. Find the probability that the salary of a randomly selected registered nurse is
- less than 43853 dollars. (Round the answer to 4 decimal places)
- between 49838 and 70360 dollars. (Round the answer to 4 decimal places)
- more than 73745 dollars. (Round the answer to 4 decimal places)
3. Find the 50-th percentile for the salaries of registered nurses. dollars (Round the answer to 1 decimal
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