A Printed Circuit Board (PCB) lab consisting of 20 PCB machines was attacked by a computer virus. This virus invades each machine with probability of 0.4, independently of other machines. (a) i. Find the probability that the virus enters at most 10 machines. If the number of machines in the lab is 5, show that the probability for exactly two machines infected by the virus is 0.3456. ii.
A Printed Circuit Board (PCB) lab consisting of 20 PCB machines was attacked by a computer virus. This virus invades each machine with probability of 0.4, independently of other machines. (a) i. Find the probability that the virus enters at most 10 machines. If the number of machines in the lab is 5, show that the probability for exactly two machines infected by the virus is 0.3456. ii.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A Printed Circuit Board (PCB) lab consisting of 20 PCB machines was
attacked by a computer virus. This virus invades each machine with
probability of 0.4, independently of other machines.
(a)
i.
Find the probability that the virus enters at most 10 machines.
If the number of machines in the lab is 5, show that the probability for
exactly two machines infected by the virus is 0.3456.
ii.
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