A contractor is interested in the total cost of a project on which he intends to bid. He estimates that materials will cost Kshs. 250,000/= and that his labor will be Kshs. 9,000/= per day. If the project takes X days to complete, the total labor cost will be 9,000X shillings and the total cost of the project in shillings will be: C = 250,000 + 9000X. The contractor forms subjective probabilities of likely completion times for the project as shown below.

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  1. A contractor is interested in the total cost of a project on which he intends to bid. He estimates that materials will cost Kshs. 250,000/= and that his labor will be Kshs. 9,000/= per day. If the project takes X days to complete, the total labor cost will be 9,000X shillings and the total cost of the project in shillings will be: C = 250,000 + 9000X. The contractor forms subjective probabilities of likely completion times for the project as shown below.

 

Completion Time (X) days

10

11

12

13

14

Probability

0.1

0.3

0.3

0.2

0.1

 

Required

    1. Find the mean and variance for the completion time X. 
    2. Find the mean, variance and standard deviation for total cost.
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