3. The lifetime of a lightbulb in a certain application is normally distributed with mean μ = 1400 hours and standard deviation σ = 200 hours. a. What is the probability that a lightbulb will last more than 1800 hours? b. Find the 10th percentile of the lifetimes. c. A particular lightbulb lasts 1645 hours. What percentile is its lifetime on? d. What is the probability that the lifetime of a lightbulb is between 1350 and 1550 hours?

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