Find the value of k such that the following distribution represents a finite probability distribution. Hence find its mean and standard deviation.
A) k = 0.2, Mean = 3.5, Standard Deviation = 1.7078
B) k = 0.5, Mean = 2.5, Standard Deviation = 1.1180
C) k = 0.7, Mean = 4.0, Standard Deviation = 1.8257
D) k = 0.9, Mean = 3.0, Standard Deviation = 1.8708