The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured. What is the probability that the total time used by machine 2 is less than 55 hours?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The manufacture of a certain part requires two different machine operations. The time on
machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2
has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines
are independent. Suppose that 100 parts are manufactured.
What is the probability that the total time used by machine 2 is less than 55 hours?
Transcribed Image Text:The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.3 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured. What is the probability that the total time used by machine 2 is less than 55 hours?
Expert Solution
Step 1: Introducing the given information

We have given that  

For machine 1 :

Mean(mu subscript 1) = 0.5

Standard deviation(sigma subscript 1) = 0.3

For machine 2 :

Mean(mu subscript 2) = 0.6

Standard deviation(sigma subscript 2) = 0.5


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