The volumes of soda in a 2 liter bottle are normally distributed with a mean of 63.3 oz with a standard deviation of 3.2 oz. When you buy a 2 liter from the grocery store, what is the probability that the bottle you choose will have more than 65 ounces of soda? First, calculate the Z SCORE and round your answer to the second decimal place: __________ Round the probability to the 4th decimal place: _________ Use the probability value to tell me whether or not it would be unusual to choose a bottle that will have more than 65 ounces of soda.
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 volumes of soda in a 2 liter bottle are
First, calculate the Z SCORE and round your answer to the second decimal place: __________
Round the probability to the 4th decimal place: _________
Use the probability value to tell me whether or not it would be unusual to choose a bottle that will have more than 65 ounces of soda.
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