   Chapter 4.1, Problem 20E

Chapter
Section
Textbook Problem

# The table shows the number of people per day who died from SARS in Singapore at two-week intervals beginning on March 1, 2003. Date Deaths per day March 1 0.0079 March 15 0.0638 March 29 0.1944 April 12 0.4435 April 26 0.5620 May 10 0.4630 May 24 0.2897 (a) By using an argument similar to that in Example 4, estimate the number of people who died of SARS in Singapore between March 1 and May 24, 2003, using both left endpoints and right endpoints. (b) How would you interpret the number of SARS deaths as an area under a curve? Source: A. Gumel et al., “Modelling Strategies for Controlling SARS Outbreaks,” Proceedings of the Royal Society of London: Series B 271 (2004): 2223-32.

To determine

a)

To estimate:

The number of people who died of SARS in Singapore

Explanation

1) Concept:

Area under the graph is

A=limni=1nfxix

where,

x=b-an & xi=a+ix

2) Calculation:

Here,

x=14 days

So using left end points of each interval to estimate the total deaths in given time period,

L6=i=16fxix

=140

To determine

b)

To describe:

How to interpret the number of deaths as an area under a curve

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