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The lifetime of a lighrbulbin a certain application is
Chapter 4, Problem 9E(choose chapter or problem)
The lifetime of a lightbulb in a certain application is normally distributed with mean \(\mu\) = 1400 hours and standard deviation \(\sigma\) = 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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QUESTION:
The lifetime of a lightbulb in a certain application is normally distributed with mean \(\mu\) = 1400 hours and standard deviation \(\sigma\) = 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?
ANSWER:Step 1 of 5
(a)
In this question, we are asked to find the probability that a light bulb will last more than 1800 hours.
Mean lifetime of light-bulb \(\mu=1400 \text { hours }\) and standard deviation \(\sigma=200 \text { hours }\)
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