Let Z denote a random variable with probability mass functio

Let Z denote a random variable with probability mass function:

Let Z denote a random variable with probability mass function: a. What is k? b. Find F(0) and F(2.5). c. Find P(-1 less than equal to Z less than equal to 1), P(Z > 0), P(Z less than equal to 2), and P(-2 less than equal to Z

Solution

a)k=.09

b) F(0)=0.1+0.3+0.09=0.49, F(2.5)=1-.21=0.79

c)P(-1<=z<=1)=0.44, P(z>0)=0.56,P(z<=2)=0.79,P(-2<=z<=2)=0.79