APPLIED CALCULUS (WILEY PLUS)
APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 7, Problem 14SYU
To determine

To indicate that the statement “If P (t) is the cumulative distribution function for a population, then P (20) − P (10) is the fraction of the population with values between 10 and 20.” is true or false

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Two geysers that are near to each other are labelled as Geyser A and Geyser B. The time between eruptions for a given geyser follows an exponential distribution. The eruption times of the two geysers are independent of one another. The mean amount of time between eruptions of Geyser A is 39 minutes, and the mean amount of time between eruptions of Geyser B is 66 minutes. Given that exactly one of the geysers erupts within the next 49 minutes, determine the probability that it will be Geyser A. O 0.6654 0.7850 O 0.7252 O 0.6953 O 0.7551
Billy's Bank is the only bank in a small town in Arkansas. On a typical Friday, an average of 10 customers per hour arrives at the bank to transact business. There is one single teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times can be described by the exponential distribution. Although this is the only bank in town, some people in the town have begun using the bank in a neighboring town about 20 miles away. If a single teller at Billy's is used, find (a) the average time in the line. (b) the average number in the line. (c) the average time in the system. (d) the average number in the system. (e) the probability that the bank is empty.
Age is a variable that is important in most if not all epidemiological studies of health because our health is so strongly related to age. The following table is a two-dimensional table that summarizes the distribution of age in a certain population every five years starting with 1970 (the first row) to 2000 (the last row).  Each row contains information for one year. Reading across the row (over the column), the table shows the number of individuals in each age group.   If you choose this option, please do the following: (a) using the data provided, produce a new two-dimensional table that shows, for each year, the percentage of that year’s total population in each age interval (Tip! In each row, the sum of your percentages should be 100%); and (b) write a brief report (a paragraph or so, no more!) on what these summaries suggest regarding the possibility (or lack thereof) of changes over time in the age distribution of this population.                     Interval of Age, years…

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