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(Solved): Question 16 - (10 marks) a) Find k so that the function given by P(x) - (-1). = kx k x = 1,2,3,4 ...



Question 16 - (10 marks)
a) Find k so that the function given by
P(x) - (²-1).
=
kx k
x = 1,2,3,4
is a probability function.
b) Find the distribution function of the random variable X whose probability density is
given by
f(x) = {2-x
for 0 < x < 1
fo

Question 16 - (10 marks) a) Find k so that the function given by P(x) - (²-1). = kx k x = 1,2,3,4 is a probability function. Then, complete the following distribution function: - ?0 < x < 1 1


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Question (a) We shall simplify the function P(x)first and then proceed ------------ using the identity that x2-1 = (x-1)(x+1) ------------ On taking k as a common factor out --------------------------------------Canceliing x-1 from b
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