In: Statistics and Probability
Discrete R.V and Probability Distribution
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cdf of X is as follows:
F(x)=⎩⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎪⎧0,x<10.10,1≤x<30.40,3≤x<70.80,7≤x<121,12≤x:
(a) What is the pmf of X?
(b) Using just the cdf, compute P(3≤X≤6) andP(X≤6):