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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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.
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.
Expert Solution
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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