You ask your roommate to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.8 and with water it will die with probability 0.1. With probability 0.85,...

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You ask your roommate to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.8 and with water it will die with probability 0.1. With probability 0.85, your roommate will remember to water the plant.

(a) What is the probability that your plant is alive when you return? (You may use a tree diagram.)

(b) If the plant is alive when you return, what is the probability that your roommate remembered to water it?

Answered Same DayDec 25, 2021

Answer To: You ask your roommate to water a sickly plant while you are on vacation. Without water the plant...

Robert answered on Dec 25 2021

117 Votes

Let W denote the event that the roommate waters the plant , and let D denote
the event that plant is Dead, A denote alive.
W ′ denote “roommate did not water”
P (W ) = 0.85, P (D |W ) = 0.1, P (D |W ′) = 0.8
a) P (A) = 1 − P (D) = 1 − (P (D | W )P (W ) + P (D | W ′)P (W ′)) = 1 − (0.1 ∗
0.85 +...

SOLUTION.PDF

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

You ask your roommate to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.8 and with water it will die with probability 0.1. With probability 0.85,...

Answer To: You ask your roommate to water a sickly plant while you are on vacation. Without water the plant...

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