A cell phone manufacturer has noticed that the number of faulty cell phones detected in a production run only depends on the supervisor on duty and is detected according to a Poisson Process. There are only 2 supervisors: James and Russell, in the firm. The average number of faulty cell phones is two per day when James is on duty, while the average number of faulty cell phones is three per day when Russell is on duty. It is also known that the quality of one day’s production doesn’t seem to have bearing on the next day. Russell works 3 out of 5 days, while James works 2 out of 5 days.
b)Expected number=3*2=6 faulty cell phones
c)P(0 phones)=P(2days Russel)*P(0 phones|2 days Russel)+P(2days James)*P(0phones|2 days James)+P(1day russel, 1day james)*P(0 phones|1day James,1day Russel)
d)P(atleast one faulty phone|Russel)=1-P(no faulty line|Russel)=
P(atleast one faulty phone|James)=1-P(no faulty line|James)=
A cell phone manufacturer has noticed that the number of faulty cell phones detected in a...
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