quise2ross
19.10.2019 •
Mathematics
Three missiles are fired at an enemy arsenal. the probabilities the individual missile will hit the arsenal are 0.75, 0.85, and 0.9. find the probability that at least two of the missiles hit the arsenal..
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Ответ:
P ( x ≥ 2 ) = P ( x = 2 ) + P ( x = 3 )
P ( x = 2 ) = 0.75 · 0.85 · 0.1 + 0.85 · 0.9 · 0.25 + 0.75 · 0.9 · 0.15 =
= 0.06375 + 0.10125 + 0.19125 = 0.35625
P ( x = 3 ) = 0.75 · 0.85 · 0.9 = 0.57375
P ( x ≥ 2 ) = 0.35625 + 0.57375 = 0.93
The probability is 0.93 or 93%.
Ответ: