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Four people working independently on an assembly line all perform the same task. The time (in...

Four people working independently on an assembly line all perform the same task. The time (in minutes) to complete this task for person i, for i=1,2,3,4, has a uniform distribution on the interval [0.i]. Suppose each person begins the task at the same time.

a) [Use R code] what is the probability that 4 people complete the task in less than 30 seconds?

b) [Use R code] what is the probability that exactly one person completes the task in less than 1 minute?

Math   Statistics-And-Probability   
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