Question: Let X be a random variable representing the lifetime (in months) of a certain brand of light bulbs. Suppose that X has the probability

Let X be a random variable representing the lifetime (in months) of a certain brand of light bulbs. Suppose that X has the probability density function given below. f(x) = { 5x, 0 x 1 0, < otherwise. Calculate the probability that the light bulb will last more than 8 months, given that it has already been in use for 2 months. [The answer should be a number rounded to five decimal places, don't use symbols such as %]

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