please show steps and equations used Question 4. [6 Marks] A large industrial fi

Question

please show steps and equations used

Question 4. [6 Marks] A large industrial firm uses three local motels to provide overnight accom modations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that a) 3 marks] a client will be assigned a room with faulty plumbing? b) 3 marks] a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge?

Explanation / Answer

given 20% Ramada Inn so 5% with faulty plumbing will be there
50% at the Sheraton then 4% with faulty plumbing
30% at the Lakeview Motorthen we have 8% with faulty plumbing will be available

a) P(client assigned with faulty plumbing room)=0.3*0.08+0.2*0.05+0.5*0.04 = 0.054,=5.4%

b) P(faulty plumbing room in Lakeview ) / P(client with faulty plumbing room)= 0.024/0.054 = 0.4444 = 44.44%

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