3. A blood pressure monitoring device records patient blood pressure (in mmHg) twice per minute. It...

3. A blood pressure monitoring device records patient blood pressure (in mmHg) twice per minute. It is set to alert the doctor whenever the patient's systolic blood pressure falls below 75 mmHg. The measured signal includes some Gaussian noise: that is, at each measurement, the measured blood pressure PM equals the true blood pressure P, plus some noise. This noise has a Gaussian distribution about zero with a standard deviation equivalent to 2.8 mmHg.

a. What is the probability that the monitoring device falsely alerts the doctor on a single measurement when the patient's true systolic pressure is 90 mmHg? (Final answer = 4. 214 *10 ^-1 ) show your steps?

b. How many days must the patient be under monitoring before the probability of a false alert with PT-90 mmHg exceeds 5%? (final answer 423 days) show steps

(Assume that the noise in each measurement is independent of the other measurements.)

c. Is the noise level acceptable for this device? Justify your answer using the results calculated above.

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orchestra answered 1 year ago

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