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Sebuah satelit bisa gagal terbang karena faktor kesalahan mesin atau komputer. Untuk sebuah misi, diketahui bahwa probabilitas kesalahan mesin adalah 0,0080,008, probabilitas kesalahan komputer adalah 0,0010,001. Saat terjadi kesalahan mesin, probabilitas satelit gagal adalah 0,980,98 Saat terjadi probabilitas satelit gagal adalah 0,40,4 Saat terjadi kesalahan komponen lain, probabilitas satelit gagal oo. a. Tentukan probabilitas satelit gagal terbang. b. Tentukan probabilitas satelit gagal terbang dan itu disebabkan karena kesalahan mesin.

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Q. Sebuah satelit bisa gagal terbang karena faktor kesalahan mesin atau komputer. Untuk sebuah misi, diketahui bahwa probabilitas kesalahan mesin adalah 0,0080,008, probabilitas kesalahan komputer adalah 0,0010,001. Saat terjadi kesalahan mesin, probabilitas satelit gagal adalah 0,980,98 Saat terjadi probabilitas satelit gagal adalah 0,40,4 Saat terjadi kesalahan komponen lain, probabilitas satelit gagal oo. a. Tentukan probabilitas satelit gagal terbang. b. Tentukan probabilitas satelit gagal terbang dan itu disebabkan karena kesalahan mesin.
  1. Calculate Engine Failure Probability: Calculate the probability of the satellite failing due to an engine error.\newlineProbability of engine error = 0.0080.008\newlineProbability of failure given engine error = 0.980.98\newlineProbability of satellite failing due to engine error = Probability of engine error ×\times Probability of failure given engine error\newline= 0.008×0.980.008 \times 0.98\newline= 0.007840.00784
  2. Calculate Computer Failure Probability: Calculate the probability of the satellite failing due to a computer error.\newlineProbability of computer error = 0.0010.001\newlineProbability of failure given computer error = 0.40.4\newlineProbability of satellite failing due to computer error = Probability of computer error ×\times Probability of failure given computer error\newline= 0.001×0.40.001 \times 0.4\newline= 0.00040.0004
  3. Calculate Total Failure Probability: Calculate the total probability of the satellite failing.\newlineTotal probability of failure = Probability of failing due to engine error + Probability of failing due to computer error\newline= 0.00784+0.00040.00784 + 0.0004\newline= 0.008240.00824
  4. Calculate Other Component Failure Probability: Calculate the probability of the satellite failing due to other component errors.\newlineProbability of failure due to other components =0= 0\newlineSince no probability is given for other components, we assume it's 00.
  5. Calculate Specific Engine Failure Probability: Calculate the probability of the satellite failing due to an engine error specifically.\newlineThis is the same as the probability calculated in step 11.\newlineProbability of satellite failing due to engine error = 0.007840.00784

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