23 lines
854 B
Mathematica
23 lines
854 B
Mathematica
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% Given probabilities
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P_S = 0.75; % Probability of a sunny day
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P_R = 0.25; % Probability of a rainy day
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P_C_given_S = 1/3; % Probability meteorologist is correct given sunny day
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P_C_given_R = 1; % Probability meteorologist is correct given rainy day
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% Part 1: Calculate overall accuracy of the meteorologist
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P_C = P_C_given_S * P_S + P_C_given_R * P_R;
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% Part 2: Calculate accuracy if the student always predicts sun
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P_student_correct = P_S;
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% Display the results
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fprintf('Meteorologist''s overall accuracy: %.2f%%\n', P_C * 100);
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fprintf('Student''s accuracy if they always predict sun: %.2f%%\n', P_student_correct * 100);
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% Decision analysis
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if P_C > P_student_correct
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fprintf('The meteorologist''s balanced prediction method is better.\n');
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else
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fprintf('The student''s method of always predicting sun is better.\n');
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end
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