Consider a random variable, π, following a modified exponential distribution with
Cumulative Distribution Function (CDF):
πΉτΊπ₯τ» τ΅ τ΅
0, π₯ τ΅ 0
1 τ΅ expτΊτ΅ππ₯τ¬Άτ», π₯τ΅0
(i) Plot the CDF πΉτΊπ₯τ» as a function of π₯ for π₯ τ΅ 0, 0.1, 0.2, ... ,9.9, 10 when
\lambda τ΅ 0.2. [4]
(ii) Plot the density function πτΊπ₯τ» of π as a function of π₯ for
π₯ τ΅ 0, 0.1, 0.2, ... ,9.9, 10 when \lambda τ΅ 0.2. [5]