# Answer to Question #41943 in Statistics and Probability for Pritinanda Dash

Question #41943

The lifetime X of a bulb is a random variable with the probability density function:

f(x) = 6[0.25 - (x-1.5)^2] when 1≤x≤2

0 otherwise

X is measured in multiples of 1000 hrs. What is the probability that none of the three

bulbs in a traffic signal have to be replaced in the first 1500 hrs of their operation.

f(x) = 6[0.25 - (x-1.5)^2] when 1≤x≤2

0 otherwise

X is measured in multiples of 1000 hrs. What is the probability that none of the three

bulbs in a traffic signal have to be replaced in the first 1500 hrs of their operation.

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