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PowerPoint makes it easy to add more slides to a presentation. To add a slide, you use the New Slide button on the Home tab. Clicking the top half of the New Slide button adds a slide with the same layout as the one selected in the Slides pane; alternatively, you can click the bottom half of the button and select a different layout. You can add and remove slides on the Slides tab in Normal view or you can switch to Slide Sorter view to manage your presentation s slides.

2-5 2-5.1

<p> <font size= 2 > <% Response.Write( Copyright © 2002-2004 MyCompany & _ DateTime.Now.ToShortTimeString()) %> </font> </p>

The de nition of conditional probability in Equation 2-5 can be rewritten to provide a general expression for the probability of the intersection of two events. This formula is referred to as a multiplication rule for probabilities.

Multiplication Rule P1A B2 P1B A2P1A2 P1A B2P1B2 (2-6)

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The last expression in Equation 2-6 is obtained by interchanging A and B. EXAMPLE 2-20 The probability that an automobile battery subject to high engine compartment temperature suffers low charging current is 0.7. The probability that a battery is subject to high engine compartment temperature is 0.05. Let C denote the event that a battery suffers low charging current, and let T denote the event that a battery is subject to high engine compartment temperature. The probability that a battery is subject to low charging current and high engine compartment temperature is P1C T 2 P1C T 2P1T 2 0.7 0.05 0.035

The code that executes inside the Include file must be the same language as the .aspx page. Visual Basic .NET doesn t know about the VBScript time method, but changing to the DateTime.Now.ToShortTimeString method fixes the problem. A better solution might be to simply add a base class that all Web pages inherit from. Create a class that inherits from System.Web.UI.Page and then add the subprocedure to output the footer, as shown in the following code:

2-5.2

The multiplication rule is useful for determining the probability of an event that depends on other events. For example, suppose that in semiconductor manufacturing the probability is 0.10 that a chip that is subjected to high levels of contamination during manufacturing causes a product failure. The probability is 0.005 that a chip that is not subjected to high contamination levels during manufacturing causes a product failure. In a particular production run, 20% of the chips are subject to high levels of contamination. What is the probability that a product using one of these chips fails Clearly, the requested probability depends on whether or not the chip was exposed to high levels of contamination. We can solve this problem by the following reasoning. For any event B, we can write B as the union of the part of B in A and the part of B in A . That is, B 1A B2 1A B2

Public Class MyCommonBase Inherits System.Web.UI.Page Public Sub footer() Response.Write( <p><font size= 2 > ) Response.Write( Copyright © 2002-2004 MyCompany & _ DateTime.Now.ToShortTimeString()) Response.Write( </font></p> ) End Sub End Class

This result is shown in the Venn diagram in Fig. 2-14. Because A and A are mutually exclusive, A B and A B are mutually exclusive. Therefore, from the probability of the union of mutually exclusive events in Equation 2-2 and the Multiplication Rule in Equation 2-6, the following total probability rule is obtained.

B = (B E1) (B E2) (B E3) (B E4)

The revised ASP.NET page must inherit from the MyCommonBase page. The following code contains the AspComTest page with the footer:

Total Probability Rule (two events)

For any events A and B, P1B2 P1B A2 P1B A 2 P1B A2P1A2 P1B A 2P1A 2 (2-7)

<%@ Page Language= VBScript AspCompat= true Inherits= Ch17Web.MyCommonBase %> <HTML> <HEAD> <META NAME= GENERATOR Content= Microsoft Visual Studio 6.0 > </HEAD> <BODY> Saying hi: <% Dim h as new AspComTest.HiTest() h.SayHi() h=nothing %> <% footer() %> </BODY> </HTML>

In the Slides pane, click the slide after which you want to insert a new slide. Click the Home tab. Click the bottom half of the New Slide button. Click a slide design.

EXAMPLE 2-21

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