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3. The two most common type of errors made by programmers are syntax errors and errors in logic. For a simple language such as BASIC the number of such errors is usually small. Let X denote the number of syntax errors and Y the number of errors in logic made on the first run of a BASIC program. Assume that the joint density for (X,Y) is as shown in table 2: x/y 1 2 3 .400 .100 .020 .005 1 .300 .040 .010 .004 2 .040 .010 .009 .003 3 .009 .008 .007 .003 4 .008 .007 .005 .002 .005 .002 .002 .001 Find the probability that a randomly selected program will have neither of these types of error. b. Find the probability that a randomly selected program will contain at least one syntax errorand at most one error of logic. c. Find the marginal densities forX and Y

3. The two most common type of errors made by programmers are syntax errors and errors in logic. For a simple language such as BASIC the number of such errors is usually small. Let X denote the number of syntax errors and Y the number of errors in logic made on the first run of a BASIC program. Assume that the joint density for (X,Y) is as shown in table 2: x/y 1 2 3 .400 .100 .020 .005 1 .300 .040 .010 .004 2 .040 .010 .009 .003 3 .009 .008 .007 .003 4 .008 .007 .005 .002 .005 .002 .002 .001 Find the probability that a randomly selected program will have neither of these types of error. b. Find the probability that a randomly selected program will contain at least one syntax errorand at most one error of logic. c. Find the marginal densities forX and Y

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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3. The two most common type of errors made by programmers are syntax errors and errors in logic. For a simple language such as BASIC the number of such errors is usually small. Let X denote the number of syntax errors and Y the number of errors in logic made on the first run of a BASIC program. Assume that the joint density for (X,Y) is as shown in table 2: x/y 1 2 3 .400 .100 .020 .005 .300 .040 .010 .004 2 .040 .010 .009 .003 3 .009 .008 .007 .003 4 .008 .007 .005 .002 .005 .002 .002 .001 a. Find the probability that a randomly selected programwill have neither of these types of error. b. Find the probability that a randomly selected program will contain at least one syntax error and at most one error of logic. Find the marginaldensities for X and Y d. Find the probability that a randomly selected program contains at least two syntax errors. Find the probability that a randomly selected program contains one or two errors in logic. C. е.
Transcribed Image Text:3. The two most common type of errors made by programmers are syntax errors and errors in logic. For a simple language such as BASIC the number of such errors is usually small. Let X denote the number of syntax errors and Y the number of errors in logic made on the first run of a BASIC program. Assume that the joint density for (X,Y) is as shown in table 2: x/y 1 2 3 .400 .100 .020 .005 .300 .040 .010 .004 2 .040 .010 .009 .003 3 .009 .008 .007 .003 4 .008 .007 .005 .002 .005 .002 .002 .001 a. Find the probability that a randomly selected programwill have neither of these types of error. b. Find the probability that a randomly selected program will contain at least one syntax error and at most one error of logic. Find the marginaldensities for X and Y d. Find the probability that a randomly selected program contains at least two syntax errors. Find the probability that a randomly selected program contains one or two errors in logic. C. е.
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