A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months Use the given data to answer parts (a) and (b). 329 392 459 359 333 - 416 487 417 542 519 507 508 495 395 405 400 557 491 366 543 (Round to two decimal places as needed.) IQR = (Type an integer or a decimal.) (b) Suppose the month in which the customer used 329 minutes was not actually that customer's phone. That particular month the customer did not use their phone at all, so 0 minutes were used How does changing the observation from 329 to 0 affect the standard deviation and interquartile range? What property does this illustrate? V and the interquartile range The standard deviation What property does this illustrate? Choose the correct answer below is not affected increases. O Empirical Rule O Weighted Mean decreases Dispersion
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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