The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(Correct,Correct) b. Find the probability that this American man consumes between 8.5 and 9.2 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium? Low: High:
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!
The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is
a. What is the distribution of X? X ~ N(Correct,Correct)
b. Find the
c. The middle 10% of American men consume between what two weights of sodium?
Low:
High:
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