The length of time (in days) required to complete a certain task is a random variable t with probability density function defined by f(t) = e- for t in [0, ∞0) 2 (a) Determine the mean of the distribution. f(t) (b) Determine the standard deviation of the distribution. (c) Find the probability (not percentage) that the time required to complete a certain task is no more than 6 days. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time required to complete a certain task is between the mean and one standard deviation above the mean. Round your answer to four decimal places as needed.

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