Chapter 5.1, Problem 20E

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8th Edition

James Stewart

ISBN: 9781305270343

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.

(a)

To determine

**To calculate:**

The amount of people died from SARS between March 1 and May 24, 2003 using left endpoints.

The amount of people died from SARS between March 1 and May 24, 2003 using right endpoints.

Explanation

**Given information:**

The amount of people died from SARS is tabulated at two weeks interval. Hence, the value of

The number of intervals as

**Calculation:**

Show the expression to calculate the number of persons died from SARS in the country using left endpoints:

Here, the deaths per day at time

Substitute 6 for *n*, 0.0079 for

(b)

To determine

**To interpret:** The amount of SARS death as an area under a curve.

Sect-5.1 P-1ESect-5.1 P-2ESect-5.1 P-3ESect-5.1 P-4ESect-5.1 P-5ESect-5.1 P-6ESect-5.1 P-7ESect-5.1 P-8ESect-5.1 P-13ESect-5.1 P-14E

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