A piece of equipment contains 20 components of Type A, 15 of Type B, and 10 of Type C. The probability of operating successfully in its first 5000 hours of use is 0.98 for Type A components, 0.97 for Type B components, and 0.96 for Type C components. Assuming all components operate independently, what is the probability that every component operates successfully in its first 5000 hours of use?
Write your answer as a decimal rounded to 4 places.
probability that every component operates successfully in its first 5000 hours of use
=P(each of A's 20 operate successfully)*P(each of A's 15 operate successfully)*P(each of C's 10 operate successfully)
=0.98^20*0.97^15*0.96^10
=0.2811
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