A firm uses three local hotels to provide accommodations for its clients. From past experience, it is known that 20% of its clients are assigned Tooms at Hotel Arman, 45% at Hotel Beejak and 35% at Hotel Chantique. It is also known that the probabilities of Hotel Arman, Hotel Beejak and Hotel Chantique facing water problems are 0.02, 0.01 and 0.03 respectively. (a) Draw a tree diagram for the above data. (b) What is the probability that a client will be assigned a room without water problem? (c) Given that the room is without water problem, what is the probability that it is at Hotel Beejak?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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JA firm uses three local hotels to provide accommodations for its clients.
From past experience, it is known that 20% of its clients are assigned
Tooms at Hotel Arman, 45% at Hotel Beejak and 35% at Hotel Chantique.
It is also known that the probabilities of Hotel Arman, Hotel Beejak
and Hotel Chantique facing water problems are 0.02, 0.01 and 0.03
respectively.
(a) Draw a tree diagram for the above data.
(b) What is the probability that a client will be assigned a room without
water problem?
(c) Given that the room is without water problem, what is the probability
that it is at Hotel Beejak?
Transcribed Image Text:JA firm uses three local hotels to provide accommodations for its clients. From past experience, it is known that 20% of its clients are assigned Tooms at Hotel Arman, 45% at Hotel Beejak and 35% at Hotel Chantique. It is also known that the probabilities of Hotel Arman, Hotel Beejak and Hotel Chantique facing water problems are 0.02, 0.01 and 0.03 respectively. (a) Draw a tree diagram for the above data. (b) What is the probability that a client will be assigned a room without water problem? (c) Given that the room is without water problem, what is the probability that it is at Hotel Beejak?
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