Question

Excell Computers promptly shipped two servers to its biggest client. The company profits RM5,000 on each one of these big systems. The shipping worker randomly selected the system without replacement that were delivered from 15 computers in stock. The system contain 4 refurbished computer, with 11 new computers in the warehouse. If the client gets two new computers, Excell earns RM10,000 profit. If the client gets a refurbished computer, it’s coming back for replacement and Excell must pay the RM400 shipping fee, with leaves RM9,600 profit. If both computers shipped are refurbished, consequently the client will return both and cancel the order. As a result, Excell will be out any profit and left with RM8,00 in shipping cost. Let X be a random variable for the amount of the profit earned on the order. a. Illustrate the event. (6 marks) b. Construct a probability distribution table and the amount of profit earned for the computer condition. (12 marks) c. Calculate the expected profit then interpret the value.

Answer 1

Given :  Excell Computers promptly shipped two servers to its biggest client. The system contain 4 refurbished computer, with 11 new computers in the warehouse.  

To find :  Construct a probability distribution table and the amount of profit earned for the computer condition

Calculate the expected profit  

Solution:

11  ok   4 refurbished

Probability both ok  =  ¹¹C₂/¹⁵C₂  = 11*10/15 * 14  =   11/21

Probability 1 ok  1 refurbished =  ¹¹C₁*⁴C₁/¹⁵C₂  = 11*4*2/15 * 14  =   44/105

Probability both refurbished =  ⁴C₂/¹⁵C₂  =  4*3/15 * 14  =  2/35

Both ok    Profit  =   (11/21)10000  =   110000/21

1 ok  1 refurbished  Profit =  (44/105)*9600 =  84480/21

both refurbished   Loss    (2/35)*800 = 960/21  

expected profit  =  110000/21 + 84480/21 -  960/21  

= 1,93,520/21

= 9,215.24 RM

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