The lifetime of a lighrbulbin a certain application is

Chapter 4, Problem 9E

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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?

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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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