A continuous random variable X with a distribution function is given 𝐹 (𝑥) = 0.125𝑥2𝐼 [0
Posted: Sun Sep 05, 2021 5:05 pm
A continuous random variable X with a distribution function is
given
𝐹 (𝑥) = 0.125𝑥2𝐼 [0.2] (𝑥) + 0.5𝐼 (2.4] (𝑥) + 0.125𝑥𝐼 (4.8] (𝑥) + 𝐼
(8, ∞) (𝑥).
Then the following applies:
𝑃(𝑋≤4|𝑋>2)=0.5, true or false
𝑃(2<𝑋≤4)=0.5, true or false
𝑃(𝑋≤6)=0.75. true or false
given
𝐹 (𝑥) = 0.125𝑥2𝐼 [0.2] (𝑥) + 0.5𝐼 (2.4] (𝑥) + 0.125𝑥𝐼 (4.8] (𝑥) + 𝐼
(8, ∞) (𝑥).
Then the following applies:
𝑃(𝑋≤4|𝑋>2)=0.5, true or false
𝑃(2<𝑋≤4)=0.5, true or false
𝑃(𝑋≤6)=0.75. true or false