Question: Planetary Communications, Inc., Intends to launch a satellite that will enhance reception of television programs In Alaska. According to Its designers, the satellite will

Planetary Communications, Inc., Intends to launch a satellite that will enhance reception

  

Planetary Communications, Inc., Intends to launch a satellite that will enhance reception of television programs In Alaska. According to Its designers, the satellite will have an expected life of six years. Assume the exponential distribution applies. T / MTBF e-T/MTBF T / MTBF e-T/MTBF T / MTBF 0.10 0.9048 2.60 0.0743 5.10 -T/MTBF 0.0061 0.20 0.8187 2.70 0.0672 5.20 0.0055 0.30 0.7408 2.80 0.0608 5.30 0.00se 0.40 0.6703 2.90 0.0550 5.40 0.0045 0.50 0.6065 3.00 0.0498 5.50 0.0041 0.60 0.5488 3.10 0.0450 5.60 0.0037 0.70 0.4966 3.20 0.0408 5.70 0.0033 0.80 0.4493 3.30 0.0369 5.80 0.0030 0.90 0.4066 3.40 0.0334 5.90 0.0027 1.00 0.3679 3.50 0.0302 6.00 0.0025 1.10 0.3329 3.60 0.0273 6.10 0.0022 1.20 0.3012 3.70 0.0247 6.20 0.0020 1.30 0.2725 3.80 0.0224 6.30 0.0018 1.40 0.2466 3.90 0.0202 6.40 0.0017 1.50 0.2231 4.00 0.0183 6.50 0.0015 1.60 0.2019 4.10 0.0166 6.60 0.0014 1.70 0.1827 4.20 0.0150 6.70 0.0012 1.80 0.1653 4.30 0.0136 6.80 0.0011 1.90 0.1496 4.40 0.0123 6.90 0.0010 2.00 0.1353 4.50 0.0111 7.00 0.0009 2.10 0.1255 4.60 0.0101 2.20 0.1108 4.70 0.0091 2.30 0.1003 4.80 0.0082 2.40 0.0907 4.90 0.0074 2.50 0.0821 5.00 0.0067 Determine the probability that it will function for each of the following time periods: a. More than 9 years. (Enter your answer to 4 decimal places using probabilities shown in the above table.) T e-T/MTBF >9 0.2231 b. Less than 12 years. (Enter your answer to 4 decimal places using probabilities shown in the above table.) T e-T/MTBF 21

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