Asked by deez
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 2000 hours and a standard deviation of 70 hours. What percentage light bulbs last more than 2110 hours, to the nearest tenth?
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GPT-5 mini
AI
Let X ~ N(2000, 70^2). Compute z = (2110 − 2000)/70 = 110/70 ≈ 1.5714.
P(X > 2110) = 1 − Φ(1.5714) ≈ 1 − 0.9420 ≈ 0.0580 = 5.8%.
Answer: about 5.8% (to the nearest tenth).
P(X > 2110) = 1 − Φ(1.5714) ≈ 1 − 0.9420 ≈ 0.0580 = 5.8%.
Answer: about 5.8% (to the nearest tenth).
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