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QUESTION 26 2 points Save Answer Questions 26 to 28 are related A community is concemed about the supply of energy for the coming winter. Suppose there are three major sources of energy for the community, namely electrical power, natural gas and oil. Let the events $\mathrm{E}, \mathrm{G}$, and $\mathrm{O}$ denote, respectively, the shortages of these sources of energy for the next winter. It is estimated that the respective probabilities of these shortages are as follows: \[ \begin{array}{l} P(E)=0.15 \\ P(G)=0.10 \\ P(O)=0.20 \end{array} \] Furthermore, if there is a shortage of oil, the probability that there will be a shortage of electrical energy will be doubled. The shortage of gas may be assumed to be statistically independent of shortages in oil and electricity. What is the probability that there will be shortages in all the three sources of energy next winter. Note: round your answers to only three decimals. QUESTION 27 1 points Save Answer What is the probability that there will be shortages in at least one of the following sources next winter: gas and electricity? QUESTION 28 2 points Save Answer If there is a shortage of electricity next winter, what is the probability that there will also be shortages in both gas and oil? Note: round your answer to only two decimals.

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