#### joshjoshjosh

##### New member

- Joined
- Mar 17, 2019

- Messages
- 2

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 per cent certain that your neighbour will remember to water your plants.

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

(a) What is 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?