Find the mean of x, given the pdf .
A) 1.00
B) 100.0
C) 50.0
D) 75.0

Name: Find the mean of x, given the pdf . A) 1.00 B) 100.0 C) 50.0 D) 75.0
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Question

Find the mean of x, given the pdf  .
A) 1.00 
B) 100.0 
C) 50.0 
D) 75.0

Quizplus · Accepted Answer

To find the mean of x, we need to integrate the product of x and the given pdf over the entire range of x.

μ = ∫ x f(x) dx

= ∫ x (1/100) dx   (from x=0 to x=100)

= (1/100) * [x²/2]  (from x=0 to x=100)

= (1/100) * [(100²/2) - (0²/2)]

= (1/100) * 5000

= 50.0

Therefore, the mean of x is 50.0, which is option C).

Find the Mean of X, Given the Pdf