You ask your neighbour to water 3 sickly plants in your front yard while you are on vacation. Each of the plants will be alive with probability 0.9 if watered; it will be alive with probability 0.3 if not watered. You are 95 percent certain that your neighbour will remember to water the plants.

Let X be the number of the sickly plants that you will find to be alive when you return from the vacation.

(a) Find the probability P(X = 2).

(b) If only one plant is found to be alive when you return, what is the conditional probability that your neighbour remembered to water the plants?

Answer rating: 100% (QA)

a From the given data of the information We consider the following Let the plant be alive as A Let t... View the full answer