You’re a quality control engineer for Select Recipe, and you’re in charge of theproduction line for big nasty jars of mustard. A data collection effort suggests that jars of mustard that come from the production line have weights that are normally distributed with a mean of 137.2 ounces and a standard deviation of 1.6 ounces. The label on the jar suggests that the jar is marketed at 135 ounces.a.What is the probability that a randomly chosen jar contains more than the stated contents?b.Among ten randomly suggested jars, what is the probability that at least eight contain more than the stated contents?c.Assuming that the mean weight remains at 137.2 ounces, to what value would the standard deviation have to be changed so that 95% of all jars contain more than the stated contents?
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!
You’re a quality control engineer for Select Recipe, and you’re in charge of theproduction line for big nasty jars of mustard. A data collection effort suggests that jars of mustard that come from the production line have weights that are
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