At the Sterling Chocolate Factory, a particular machine on the chocolates assembly line fails to insert the correct cream filling approximately 1.2% of the time. Chocolates without the correct filling cannot be processed into boxes of chocolates for shipping. a) Find the mean and standard deviation for the number of incorrectly filled chocolates per 10,000 made on the assembly line. b) In a particular batch of 10,000 chocolates, would 400 incorrectly filled chocolates be unusually low or unusually 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!
At the Sterling Chocolate Factory, a particular machine
on the chocolates assembly line fails to insert the correct cream filling
approximately 1.2% of the time. Chocolates without the correct filling
cannot be processed into boxes of chocolates for shipping.
a) Find the mean and standard deviation for the number of incorrectly
filled chocolates per 10,000 made on the assembly line.
b) In a particular batch of 10,000 chocolates, would 400 incorrectly filled
chocolates be unusually low or unusually high?
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