# Probability problems based on density function

Find the probability that none of the 5 bulbs in a signal light will have to be replaced during the first 1200 hours of operation if the lifetime X of the bulb is a random variable with the density

f(x)=6[0.25-(x-1.5)^2] when 1<=x<=2, and

f(x)=0 other wise

Where x is measured in multiples of 1000

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Lifetime probability question

Find the probability that none of the 5 bulbs in a signal light will have to be replaced during the first 1200 hours ...

#### Solution Summary

The solution provides step by step method for the calculation of probability based on density fucntion . Formula for the calculation and Interpretations of the results are also included.

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