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O Timer Notes à Evaluate Print einfo Course Contents » » HwS (graded) » Gas Station Feedback At a certain gas station, 65% of customers use unleaded gas, 30% of customers use premium gas, and the rest use diesel. Of those customers using unleaded gas 80% fill their tank to the full. Of those customers using premium, 70% fill their tank to the full, whereas those using diesel 10% fill their car's tank to the full. Users of gas types and filling of tanks is shown in the following tree diagram Unleaded Premium Diesel Full Full Ful Full Full Full [Answer all questions below to 3 decomal places. The answers must be given as a fraction, not percentage. For instance, if the answer is 20.7% , it must be typed as 0.207.] what is the probability that a randomly chosen customer uses diesel and filed her car's tank to the full? i.e. PDieseln Full)-. Submit Answer Tries 0/5 What is the probability that a randomly chosen customer filled her car's tank to the full? l.e. P(Full)- Submit Answer Tries 0/5 If a randomly selected customer filled her car's tank to the full, what is the probability that she uses diesel? .e. P(DiesellFull)- Submit Answer Tries 0/5 My eneral nreferences on what is marked as NEW

Explanation / Answer

P(Diesel and Full) = 0.05x0.1

= 0.005

P(Full) = 0.65x0.8 + 0.3x0.7 + 0.05x0.1

= 0.735

P(Diesel | Full) = P(Diesel and Full) / P(full)

= 0.005 / 0.735

= 0.007

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