On a vacation, you ask your neighbor to water a diseased plant that you are taking care of while you are away. Without water, the plant will die with probability 0.8 and with water, it will die with probability 0.15. You are 90% sure that your neighbor will remember to water the plant. (Assuming that as long as you remember to water it). a) What is the probability that the plant will be alive when you return? b) If the plant is dead when you return, what is the probability that your neighbor forgot to water it?

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