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Given: , and .
Determine .
% file
npr02_10.m % Data for
[link] minvec4
DV = [A|Ac; A; Ac&Bc; A&Cc; A&C&Dc];DP = [1 0.6 0.2 0.4 0.1];TV = [(Ac&B)|(A&(Cc|D))];disp('Call for mincalc')
npr02_10Variables are A, B, C, D, Ac, Bc, Cc, Dc
They may be renamed, if desired.Call for mincalc
mincalcData vectors are linearly independent
Computable target probabilities1.0000 0.7000 % Checks with minterm map solution
The number of minterms is 16
The number of available minterms is 0Available minterm probabilities are in vector pma
To view available minterm probabilities, call for PMA
A survey of a represenative group of students yields the following information:
% file
npr02_11.m % Data for
[link] % A = male; B = on campus; C = active in sports
minvec3DV = [A|Ac; A; B; A|C; B&Cc; A&B&C; A&Bc; A&Cc];DP = [ 1 0.52 0.85 0.78 0.30 0.32 0.08 0.17];TV = [A&B; A&B&Cc; Ac&C];disp('Call for mincalc')npr02_11
Variables are A, B, C, Ac, Bc, CcThey may be renamed, if desired.
Call for mincalcmincalc
Data vectors are linearly independentComputable target probabilities
1.0000 0.44002.0000 0.1200
3.0000 0.2600The number of minterms is 8
The number of available minterms is 8Available minterm probabilities are in vector pma
To view available minterm probabilities, call for PMA
A survey of 100 persons of voting age reveals that 60 are male, 30 of whom do not identify with a political party; 50 are members of a political party;20 nonmembers of a party voted in the last election, 10 of whom are female. How many nonmembers of a political party did not vote? Suggestion Express the numbers as a fraction, and treat as probabilities.
% file
npr02_12.m % Data for
[link] % A = male; B = party member; C = voted last election
minvec3DV = [A|Ac; A; A&Bc; B; Bc&C; Ac&Bc&C];DP = [ 1 0.60 0.30 0.50 0.20 0.10];TV = [Bc&Cc];disp('Call for mincalc')
npr02_12Variables are A, B, C, Ac, Bc, Cc
They may be renamed, if desired.Call for mincalc
mincalcData vectors are linearly independent
Computable target probabilities1.0000 0.3000
The number of minterms is 8The number of available minterms is 4
Available minterm probabilities are in vector pmaTo view available minterm probabilities, call for PMA
During a period of unsettled weather, let A be the event of rain in Austin, B be the event of rain in Houston, and C be the event of rain in San Antonio. Suppose:
% file
npr02_13.m % Data for
[link] % A = rain in Austin; B = rain in Houston;% C = rain in San Antonio
minvec3DV = [A|Ac; A&B; A&Bc; A&C; (A&Bc)|(Ac&B); B&C; Bc&C; Ac&Bc&Cc];DP = [ 1 0.35 0.15 0.20 0.45 0.30 0.05 0.15];TV = [A&B&C; (A&B&Cc)|(A&Bc&C)|(Ac&B&C); (A&Bc&Cc)|(Ac&B&Cc)|(Ac&Bc&C)];disp('Call for mincalc')
npr02_13Variables are A, B, C, Ac, Bc, Cc
They may be renamed, if desired.Call for mincalc
mincalcData vectors are linearly independent
Computable target probabilities1.0000 0.2000
2.0000 0.25003.0000 0.4000
The number of minterms is 8The number of available minterms is 8
Available minterm probabilities are in vector pmaTo view available minterm probabilities, call for PMA
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