Determine the Value C So That Each of the Following Functions Can Serve as a Probability

Mar 19, 2008, xi:36 AM

Make up one's mind the value of c so that each of the following functions can serve every bit a probability distribution of the discrete random variable Ten:

(a) f(x) = c(ten^2 + 4) for x=0,i,two,3;
(b) f(10) = c(ii,ten)(3,3-x) for 10=0,1,2

Mar xx, 2008, 07:36 AM

Solution:

a)

x 0 one ii iii

f(x) 4 5 8 xiii

F(0) = f(0) = 4
F(1) = f(0) + f(1) = 4 + 5 = 9
F(ii) = f(0) + f(1) + f(2) = iv + 5 + 8 = 17
F(three) = f(0) + f(1) + f(2) + f(3) = 4 + 5 + eight + 13 = 30

how can I summate c

and in the book answer is one/30.

b)

=c(2+iii,ten+three-10)
=c(5,three)
=10

answer in book is 1/ten

can anybuddy explain

Mar 14, 2011, 02:30 AM

∑f(10) =i

make summation of the functions f(0),f(1),f(ii)...

then you can find c

Corbould Truck1984

Determine the Value C So That Each of the Following Functions Can Serve as a Probability

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