The amount of fill (welght of contents) put Into a glass jar of spaghetti sauce is normally distributed with mean u = 855 grams and standard devlation of a = 10 grams. (a) Describe the distribution of x, the amount of flll per jar. O skewed right O normal O skewed left O chi-square (b) Find the probability that one jar selected at random contains between 840 and 859 grams. (Give your answer correct to four decimal places.) .6529 (c) Describe the distribution of x, the mean weight for a sample of 23 such jars of sauce. O skewed right O normal O skewed left O chl-square 8:48 PM
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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