A company produces different types of energy drinks. The filling machines are adjusted to pour 500 milliliters (ml) of energy drinks into each plastic bottle. Nonetheless, the actual amount of energy drink poured into each bottle is not exactly 500 ml, it varies from bottle to bottle. It has been observed that the amount of energy drink in a bottle is normally distributed with a mean of 500 ml and a standard deviation of 4.75 ml. What percentage of the energy drink bottles contains 505 to 513 milliliters? Solution: Step 1: Draw a figure and represent the area. Step 2: Find the z value. Step 3: Find the appropriate area/probability value.
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 company produces different types of energy drinks. The filling machines are adjusted to pour 500 milliliters (ml) of energy drinks into each plastic bottle. Nonetheless, the actual amount of energy drink poured into each bottle is not exactly 500 ml, it varies from bottle to bottle. It has been observed that the amount of energy drink in a bottle is
Solution:
Step 1: Draw a figure and represent the area.
Step 2: Find the z value.
Step 3: Find the appropriate area/
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