A health study reported that, in one country, systolic blood pressure readings have a mean of 122 and a standard deviation of 15. A reading above 140 is considered to be high blood pressure. If systolic blood pressure in that country has a normal distribution, using the z-table, what proportion of the population suffers from high blood pressure?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A health study reported that, in one country, systolic blood pressure readings have a mean of 122 and a standard deviation of 15. A reading above 140 is considered to be high blood pressure. If systolic blood pressure in that country has a normal distribution, using the z-table, what proportion of the population suffers from high blood pressure?
| a. |
0.8849 |
|
| b. |
0.1151 |
|
| c. |
0 |
|
| d. |
0.2302 |
|
| e. |
1.2 |
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