SOLUTION: f(x)= 3x+1/k for x= (1,3,5,7,9,11) 0 otherwise a. Find the value of k that will make this function a “true” pdf. b. Find the mean, variance and standard devia

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: f(x)= 3x+1/k for x= (1,3,5,7,9,11) 0 otherwise a. Find the value of k that will make this function a “true” pdf. b. Find the mean, variance and standard devia      Log On

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Question 437225:
f(x)= 3x+1/k for x= (1,3,5,7,9,11)
0 otherwise
a. Find the value of k that will make this function a “true” pdf.
b. Find the mean, variance and standard deviation for this random variable.
c. Find P(x>3)
d. Find P(1≤x≤9)
e. Find P(x<9)

Answer by robertb(4012) About Me  (Show Source):
You can put this solution on YOUR website!
a.
==> k = 114.
b.

=, to 6 decimal places.