(i) Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 0 (year),λ = 0.65. Plot the survivorshipfunction and find:
(a) The mean survival time
(b) The median survival time
(c) The probability of surviving 1.5 years or more
(ii) Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 5 (years) and λ = 0.25. Plot the survivorshipfunction and find:
(a) The mean survival time
(b) The median survival time
(c) The probability of surviving 6 years or more
(iii) Consider the following two we bull distributions as survival models:
(i) G = 0, 1, γ= 0.5
(ii) G = 0, 0.5, γ = 2
For each distribution, plot the survivorship function and the hazardfunction and find:
(a) The mean
(b) The variance
(c) The coefficient of variation
Which distribution gives the larger probability of surviving at least 3 unitsof time?
(iv) Suppose that the survival time follows the lognormal distribution with μ= 1 and σ = 0.5. Find:
(a) The mean survival time
(b) The variance
(c) The coefficient of variation
(d) The median
(e) The mode