The following table gives the frequency distribution of the amounts of telephone bills FOF Augu! sample of 50 families. Amount of Telephone Bill (dollars) Number of Families 40 to less than 70 3 70 to less than 100 12 100 to less than 130 14 130 to less than 160 160 to less than 190 12 Calculate the mean, variance, and standard deviation.
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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