4.3.7Suppose that the time in minutes taken by a worker on an assembly line to complete a particular task has a gamma distribution with parameters k = 44 and λ = 0.7. (a) What are the expectation and standard deviation of the time taken to complete the task? (b) Use a software package to find the probability that the task is completed within an hour.
4.3.7Suppose that the time in minutes taken by a worker on an assembly line to complete a particular task has a gamma distribution with parameters k = 44 and λ = 0.7. (a) What are the expectation and standard deviation of the time taken to complete the task? (b) Use a software package to find the probability that the task is completed within an hour.
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![4.3.7Suppose that the time in minutes taken by a worker on an assembly line to
complete a particular task has a gamma distribution with parameters k = 44
and λ = 0.7.
(a) What are the expectation and standard deviation of the time taken to complete
the task?
(b) Use a software package to find the probability that the task is completed
within an hour.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54eb408b-ad1e-4f99-9123-95d79d3e4a13%2Ff41393e3-828f-41cf-bbbc-4fefa6777ad0%2F7e3demv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.3.7Suppose that the time in minutes taken by a worker on an assembly line to
complete a particular task has a gamma distribution with parameters k = 44
and λ = 0.7.
(a) What are the expectation and standard deviation of the time taken to complete
the task?
(b) Use a software package to find the probability that the task is completed
within an hour.
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Step 1
Given :
gamma distribution with ( k = 44 and λ = 0.7 )
Time in minutes taken by a wrokers on assembly line to complete a particular task.
(a) expected time and standard deviation of time=?
(b) Using an software p=? ( Task is completed in one hour )
Let (t) denote time :
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