The driving time for an individual from his home to his work is uniformly distributed between 400 to 610 seconds. (a) Determine the probability density function. f(x) =

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The driving time for an individual from his home to his work is uniformly distributed between 400 to 610 seconds.
(a)
Determine the probability density function.
f(x) = 
 
 ,     400 ≤ x ≤ 610
0,     elsewhere
(b)
Compute the probability that the driving time will be less than or equal to 555 seconds. (Round your answer to two decimal places.)
 
(c)
Determine the expected driving time (in seconds).
 sec
(d)
Compute the variance.
 
(e)
Compute the standard deviation (in seconds). (Round your answer to two decimal places.) 
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