Judy's doctor is concerned that she may have hypokalemia (low potassium in the blood, measured in millimoles per liter, mmol/l). There is variation both in the actual potassium level and in the blood test that measures the lev Judy's measured potassium level varies according to the Normal distribution with µ = 3.8 mmol/l and o = 0.2 mmol/l. A patient is classified as hypokalemic if the potassium level is less than 3.5 mmol/I. If a single potassium measurement is made, what is the probability that Judy is diagnosed as hypokalemic? (Enter your answer rounded to four decimal places.)
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
