The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation grams. The weight of a randomly selected pack of gum has az-score of 3.11. Which of the following statemen The best interpretation of the z-score? O The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations. O The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations. O The weight of this pack of gum is lighter than the mean weight by 2.4 standard deviations. O The weight of this pack of gum is heavier than the mean weight by 2.4 standard deviations.
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!
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