Question

Suppose that the probability distribution of a random variable can be described by the formula
P(x)=〖(x-3)〗^2/55
Where x= -2, -1, 0, 1 and 2
Write the probability distribution of x
Show that the probability distribution of x satisfies the properties of a discrete probability distribution.
Calculate the mean of x

Answer 1

you have the distribution \(P(x)\)


for each \(x\), \(P(x)>0\)

show \[\sum_{x=-2}^{2}P(x)=1\]

then compute \[\sum_{x=-2}^{2}xP(x)\] to find the mean

Answer 2

not quite sure i understand anything you just explained

Answer 3

plug in -2,-1,0,1,2 into p(x) to get the probabilities
these will be positive numbers. Add them all up...you should get 1

Answer 4

oh ok let me try