A person with normal blood pressure has a systolic measurement of 120 mmHg, and a standard deviation of 7.5 mmHg. Assume the population data in this scenario is normally distributed.a. What is the probability that a randomly selected person with normal blood pressure will get a systolic result of over 130 mmHg, indicating the possibility of prehypertension?Standard Deviation of distribution:Z-score:b. If a patient takes their blood pressure every day for 5 days, what is the probability of getting an average systolic blood pressure result of over 130 mmHg, assuming the patient has normal blood pressure?Standard Deviation of distribution: Z-score: P (average systolic BP > 130):

Let X be the random variable from Normal distribution with mean (μ) = 120, standard deviation (σ) =…

Answered: Assume the population data in this…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

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A person with normal blood pressure has a systolic measurement of 120 mmHg, and a standard deviation of 7.5 mmHg. Assume the population data in this scenario is normally distributed.

a. What is the probability that a randomly selected person with normal blood pressure will get a systolic result of over 130 mmHg, indicating the possibility of prehypertension?

Standard Deviation of distribution:
Z-score:

b. If a patient takes their blood pressure every day for 5 days, what is the probability of getting an average systolic blood pressure result of over 130 mmHg, assuming the patient has normal blood pressure?

Standard Deviation of distribution:
Z-score:
P (average systolic BP > 130):

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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