A system is made up of three components that operate independently from one another. For the system to function (work), at least two of its components must function. Suppose that the probability that component no. 1 functions equals to 0.95, component no. 2 functions equals to 0.9, and component no. 3 functions equals to 0.8. Given that the system functions, what is the probability that exactly two components function? O a. 0.967 O b. 0.293 O c. 0.034 O d. 0.98

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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ش2 )314 CME( الاحتمالات والعمليات العشوائية في
A system is made up of three components that operate independently from one
another. For the system to function (work), at least two of its components must
function. Suppose that the probability that component no. 1 functions equals to
0.95, component no. 2 functions equals to 0.9, and component no. 3 functions
equals to 0.8. Given that the system functions, what is the probability that
exactly two components function?
of
stion
O a. 0.967
O b. 0.293
O c. 0.034
O d. 0.98
Transcribed Image Text:ش2 )314 CME( الاحتمالات والعمليات العشوائية في A system is made up of three components that operate independently from one another. For the system to function (work), at least two of its components must function. Suppose that the probability that component no. 1 functions equals to 0.95, component no. 2 functions equals to 0.9, and component no. 3 functions equals to 0.8. Given that the system functions, what is the probability that exactly two components function? of stion O a. 0.967 O b. 0.293 O c. 0.034 O d. 0.98
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