Among the female in a certain country between the age of 18 and 74 years of age, diastolic blood pressure is normally distributed with a =77 mm Hg and standard deviation b =11.6 mm Hg i. What is the probability that a randomly selected woman has diastolic blood pressure less than 60 mm Hg ii. What is the probability that she has diastolic blood pressure greater than 90 mm Hg iii. What is the probability that she has diastolic blood pressure between 60 and 90 mm Hg
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!
Among the female in a certain country between the age of 18 and 74 years of age, diastolic blood pressure is
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