Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
Because the earnings are independent, the total weekly earnings have mean $53 + $47 = $100 and standard deviation √(3.60² + 4.10²) ≈ $5.46. A total of $110 is about (110 − 100) / 5.46 ≈ 1.83 standard deviations above the mean. The probability of earning more than that is about 0.034, so the correct choice is A, 0.034.
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