Earthlings are remotely probing the planetary system of the star Prob of the Measure galaxy for the hydrogen content in the atmosphere. One signal is sent to each planet. On the way back, the signal passes through a relay station located at the edge of the solar system, and with a probability of 0.1 does not reach the Earth. All obtained results are saved on this station. If the sensing result that came to Earth indicates that the percentage of hydrogen is above a certain threshold (positive result), then a probe is automatically sent to this planet from the Earth for a more detailed study (the probe, in particular, accurately determines the hydrogen content in the atmosphere planet and transmits the corresponding signal to Earth without interference). If the result is negative, the probe is not sent. In the event of a signal loss during transmission through an intermediate station, the machine decides to send a probe, throwing in the correct bone: if 6 falls out, then the probe is sent, otherwise it is not sent. The remote sensing method is not accurate: if the sounding result is positive, then in fact the percentage of hydrogen exceeds the specified threshold with a probability of 0.8; if the sounding result is negative, then in fact the percentage of hydrogen does not exceed the specified threshold with a probability of 0.95. Based on the data stored at the relay station in the study of similar planetary systems of the Measure galaxy, for any planet of the Prob star system, the result of remote sensing is expected to be positive with a probability of 0.3. A) What is the probability that that on a randomly selected planet of the Prob star system, the hydrogen level is above the threshold? b) b) What is the probability that a probe will be sent to some planet U, randomly selected from the studied system of planets? c) What is the probability that a probe sent to a certain planet W will report that the percentage of hydrogen in the atmosphere W is above a certain threshold? d) The result of remote sensing of planet Y of the Prob star system did not reach the Earth. A probe was sent to Y, which gave us accurate information that the percentage of hydrogen in Y's atmosphere is sufficient. What is the likelihood that the result of its remote sensing stored at the intermediate station was positive? f) The probe was sent to planet Z and reported that the percentage of hydrogen is insufficient. What is the likelihood that we got the result of remote sensing of planet Z? Enter a number as a decimal fraction with a dot separator to four decimal places, for example, 0.3571.
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Ответы на вопрос:
Объяснение:
1. градус и его доли - измерение температуры
2. грамм. килограмм и их доли - измерение массы
3. миллилитр и его доли - измерение обьема
4. час. минута. секунда - измерение времени
5. см, миллиметр - измерение длины
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