(Solution) - The lifetime of a lightbulb in a certain application is -(2025 Original AI-Free Solution)

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The lifetime of a lightbulb in a certain application is normally distributed with mean ? = 1400 hours and standard deviation ? = 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?