Suppose X is a random variable defined as X =- final cost of project estimated cost of project vhich has a PDF as follows: f:(x)={3/x 1sxsa x>a a. Determine the value of a. b. What is the probability that the final cost of a project will exceed its estimated cost by 25%? c. Determine the mean value and standard deviation of X.

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Suppose X is a random variable defined as
final cost of project
estimated cost of project
which has a PDF as follows:
[0
x<1
S(x)={3/x 1srsa
x>a
a. Determine the value of a.
b. What is the probability that the final cost of a project will exceed its estimated cost by 25%?
c. Determine the mean value and standard deviation of X.
Transcribed Image Text:Suppose X is a random variable defined as final cost of project estimated cost of project which has a PDF as follows: [0 x<1 S(x)={3/x 1srsa x>a a. Determine the value of a. b. What is the probability that the final cost of a project will exceed its estimated cost by 25%? c. Determine the mean value and standard deviation of X.
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