Generic random variable Generic Random Variable I roll a die

Generic Random Variable: I roll a die until I get the number six, or until I have rolled 5 times, whichever comes first. Let X be the number of rolls. Is X discrete or continuous? What is f(x); Find E(X); Find V(X) using the definition; Find the probability that X is within 2 standard deviations of the mean and compare with the Chebychev lower bound.

Solution

a) the x is an discrete random variable, because the variable is a function of a set of real numbers

b) F(x): x/6, where the values of x= 1,2,3,4,5,6

I guess the probability of rolling the dice is 1/6 for all that this is the chance to come out frequency any number.
I hope I have solved your questions or helped get a better idea of how to raise the problem, remember that they are only 4 questions that are answered can send the other as another problem

x	F(x)	x*F(x)	x^2*F(x)
1	0.17	0.17	0.17
2	0.17	0.33	0.67
3	0.17	0.50	1.50
4	0.17	0.67	2.67
5	0.17	0.83	4.17
6	0.17	1.00	6.00
	sum	3.50	15.17
		E(x)	V(x)