SOLUTION: The probability distribution of a discrete random variable X is given below. Value x of X: "-2, -1, 0, 1, 2" P(X=x): "0.22, 0.11, 0.26, 0.12, 0.29" Let F(x) be the cumulativ

Question 1190605: The probability distribution of a discrete random variable X is given below.
Value x of X: "-2, -1, 0, 1, 2"
P(X=x): "0.22, 0.11, 0.26, 0.12, 0.29"
Let F(x) be the cumulative distribution function of X. Compute the following:
a) F(x=1)=
b) F(x=1)-F(x=-1)=
c) F(x=3/5)=
Any help would be appreciated, thank you!
Answer by chitrank(4) (Show Source): You can put this solution on YOUR website!
Cumulative distribution function(CDF) is nothing but a function that tells you, given some number x, what is the probability that the random variable would be less than or equal to that value .
So to calculate CDF on x, or f(x) as in the question, just find out what's the probability that the random variable will take a value less than or equal to .
To calculate that probability, observe that can only take one value at any given time. Therefore, to calculate the probability that would be less than (or equal to) some , you would only need to sum the probabilities of taking values than or equal to . And this sum is extremely easy because is discrete, and hence only takes finitely many values (which is, according to the question, one of -2,-1,0,1,2).

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