Q Math 54 Collected Work Section 5.3 Collected Work Name: Total points: 10 1. (4) Christmas lights are often designed with a series circuit. This means that when one light burns out the entire string of lights goes black. Suppose that the lights are designed so that the probability a bulb will last 2 years is 0.995. The success or failure of a bulb is independent of the success or failure of other bulbs. a. What is the probability that in a string of 100 lights all 100 will last 2 years? b. What is the probability that at least one bulb will burn out in 2 years? 2. (3) What is the probability of obtaining five heads in a row when flipping a fair coin? 3. (3) Suppose that a company selects two people who work independently inspecting 2 by 4 timbers. Their job is to identify low-quality timbers. Suppose that the probability that an inspector does not identify a low-quality timber is 0.20. What is the probability that both inspectors do not identify a low-quality timber? 1

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