Question: In a certain cell population, cells divide every 10 days, and the age of a cell selected at random is a random variable X with

In a certain cell population, cells divide every 10 days, and the age of a cell selected at random is a random variable X with the density function f (x) = 2ke^-kx, 0 ≤ x ≤ 10, k = (ln 2)/10.

Find the probability that a cell is at most 5 days old.

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