In: Statistics and Probability
You ask your neighbor to water a sickly plant while you are on vacation. If the plant gets water, it will live with probability 0.84. If the plant does not get water, it will live with probability 0.07. You are 75% certain that your neighbor will remember to water your plant. Let W be the event that plant is watered and let L be the event that the plant lives.
a)Draw and label a tree diagram with the correct probabilities.
b) If the plant is dead when you return, what is the probability that your neighbor remembered to water it?
C) What is the probability that the plant will be alive when you return?