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05 001 1050 002 b brake system fails f if any

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Unformatted text preview: 15 / 0.793 = 0.902 6) (21points) Any of three components can cause an automobile brake system to fail: the master cylinder (M), the wheel cylinders (W), and the brake pads (B). Within a period of 4 years or 50,000 miles without maintenance, the failure probabilities are: Master cylinder – 0.02 Wheel cylinders – 0.05 Brake pads – 0.50 Both master cylinder and wheel cylinders – 0.01 The failure of the brake pads is statistically independent of the failure in the master and wheel cylinders. For a brake system that is not maintained: a) What is the probability that only the wheel cylinders will fail within 4 years or 50k miles? Be careful how you write this event. (7points) b) What is t...
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