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The lifetime of 100 watt light bulbs is normally distributed with a mean of 750

ID: 3044347 • Letter: T

Question

The lifetime of 100 watt light bulbs is normally distributed with a mean of 750 hours and a standard deviation of 20 hours. Owing to strict quality control during the manufacturing process, 95% of the bulbs will last at least 717.1 hours while 75% of the bulbs will last at most 763.5 hours. If a 100 watt bulb is selected at random, what will be its expected lifetime (in hours)?

(Hint: What is the expected value of a Random Variable?)

743.3

717.1

763.5

751.7

750

1.

743.3

2.

717.1

3.

763.5

4.

751.7

5.

750

Explanation / Answer

expected lifetime (in hours)

Expected value would be 763.5, option C is Correct

Option C is Correct

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