Question
Asked Jan 21, 2020
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Suppose a lightbulb manufacturer claims that the mean lifetime of it's bulb is 35 hours. Assume the bulb lifetime have a mound shape distribution with standard deviation of 5 hours. If the manufacturer claim is true, what percent of the light bulbs will burn out in less than 20 hours?

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Expert Answer

Step 1

68-95-99.7-rule:

Let X be an observation from a normal distribution (mound shape), having mean µ and standard deviation σ, then according to the 68-95-99.7-rule, approximately 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean respectively. That is,

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Step 2

The random variable follows mound distribution with mean 35 hours and standard devia...

Statistics homework question answer, step 2, image 1
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