The amount of television viewed by today's youth is of primary concern to a certain organization. Three hundred parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 13 and 4, respectively. The organization constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell shaped distribution. Give an interval around the mean where most (approximately 95%) of the television viewing times fell in the distribution. O A. between 1 and 25 hours per week O B. between 9 and 17 hours per week O C. less than 9 and more than 17 hours per week O D. between 5 and 21 hours per week
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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