Hello to everyone! I need help with the following exercise:
“Let X=1/2N2, where N is an integer random variable with value in -1≤N≤3. Calculate the CDF (Cumulative Distribution Function) of X and use it to calculate the probability of the following events: {X≤0}{2<X≤3}{X<2} and {X≥2}.”
The results are: 1/5, 0, 3/5 and 2/5.
I know how to calculate the probability of the events, but I don't know how to calculate the CDF of X.
Please, can you help me?
“Let X=1/2N2, where N is an integer random variable with value in -1≤N≤3. Calculate the CDF (Cumulative Distribution Function) of X and use it to calculate the probability of the following events: {X≤0}{2<X≤3}{X<2} and {X≥2}.”
The results are: 1/5, 0, 3/5 and 2/5.
I know how to calculate the probability of the events, but I don't know how to calculate the CDF of X.
Please, can you help me?