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Table 8.5 A DataRow s RowState DESCRIPTION The DataRow has been created but not attached to a DataTable. The DataRow has been created and Added to the DataTable. The DataRow has not changed since the AcceptChanges method has been called. When the AcceptChanges method is called, the Row immediately changes to this state. The DataRow has been changed since the last time that the AcceptChanges method has been called. The DataRow has been deleted using the Delete method of the DataRow.

De nition For a discrete sample space, the probability of an event E, denoted as P(E), equals the sum of the probabilities of the outcomes in E.

EXAMPLE 2-10

Table 8.6 The DataRow s RowVersion DESCRIPTION The row contains current values. The default row version according to the current DataRowState. The row contains its original values. The row contains a proposed value.

A random experiment can result in one of the outcomes {a, b, c, d} with probabilities 0.1, 0.3, 0.5, and 0.1, respectively. Let A denote the event {a, b}, B the event {b, c, d}, and C the event {d}.Then, P1A2 P1B2 P1C2 0.1 0.3 0.1 0.3 0.5 0.4 0.1 0.9

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Also, P1A 2 0.6, P1B 2 0.1, and P1C 2 0.9. Furthermore, because A B 5b6, P1A B2 0.3. Because A B 5a, b, c, d6, P1A B2 0.1 0.3 0.5 0.1 1. Because A C is the null set, P1A C2 0 .

DataRows can be deleted by executing the Delete method of the DataRow. This marks the row as deleted, but the row will still exist in the DataTable. Later, when changes are sent to the data store, rows that were marked for deletion will be deleted. The following code deletes a customer whose CustomerID is AAAAB. When the DataRow is deleted, it will only be viewable using a DataView that has its RowStateFilter set to Deleted rows.

EXAMPLE 2-11

A visual inspection of a location on wafers from a semiconductor manufacturing process resulted in the following table:

Create objects Dim cnstr As String = integrated security=yes;database=northwind Dim cn As New SqlConnection(cnstr) Dim sql As String = Select CustomerID, CompanyName from customers Dim daCustomers As New SqlDataAdapter(sql, cn) Dim dt As New DataTable( Customers ) Execute daCustomers.Fill(dt) dt.PrimaryKey = New DataColumn() {dt.Columns(0)} Dim dr As DataRow = dt.Rows.Find( AAAAB ) dr.Delete() DataGrid1.DataSource = dt Dim dv As New DataView(dt) dv.RowStateFilter = DataViewRowState.Deleted DataGrid2.DataSource = dv DataBind() Cleanup dt.Dispose() daCustomers.Dispose()

If one wafer is selected randomly from this process and the location is inspected, what is the probability that it contains no particles If information were available for each wafer, we could de ne the sample space as the set of all wafers inspected and proceed as in the example with diodes. However, this level of detail is not needed in this case. We can consider the sample space to consist of the six categories that summarize the number of contamination particles on a wafer. Then, the event that there is no particle in the inspected location on the wafer, denoted as E, can be considered to be comprised of the single outcome, namely, E {0}. Therefore, P1E2 0.4

98 99 100 102 103 104 106 108 Add a Worksheet Name a Worksheet Change Page Setup Options Move and Copy Worksheets Delete a Worksheet Find and Replace Data Sort Data Filter Data

What is the probability that a wafer contains three or more particles in the inspected location Let E denote the event that a wafer contains three or more particles in the inspected location. Then, E consists of the three outcomes {3, 4, 5 or more}. Therefore, P1E2 EXAMPLE 2-12 0.10 0.05 0.10 0.25

Suppose that a batch contains six parts with part numbers {a, b, c, d, e, f }. Suppose that two parts are selected without replacement. Let E denote the event that the part number of the rst part selected is a. Then E can be written as E {ab, ac, ad, ae, af }. The sample space can be enumerated. It has 30 outcomes. If each outcome is equally likely, P1E2 5 30 1 6. Also, if E2 denotes the event that the second part selected is a, E2 {ba, ca, da, ea, fa} and with equally likely outcomes, P1E2 2 5 30 1 6.

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