The probability distribution of a discrate random variable X is : `{:(X=x, 1,2,3,4,5),(P(X=x),k,2k,3k,4k,5k):}` Find `P (X le 4).`

The probability distribution of a discrate random variable X is : `{:(

1.	The probability distribution of a discrate random variable X is : `{:(X=x, 1,2,3,4,5),(P(X=x),k,2k,3k,4k,5k):}` Find `P (X le 4).`
Answer» Here, we must have `k+2k+3k+4k+5k=1` `15k=1` `k=1/15` Now, `P (Xle4)=k+2k+3k+4k` `=1/15+2/15+3/15+4/15=10/15` `therefore P(Xle4)=2/3`