Mixing
Cumulative Distribution Function.
I am trying to solve this problem, let me know if my approach is correct.
The problem statement is given below:
**Let X be a random variable with the cdf shown below**
enter image description here
The image of CDF is attached. Find the following probabilities:
(a) {X = 2}
(b) {X < 2}
(c) {X = 2} ∪ {0.5 ≤ X ≤ 1.5}
(d) {X = 2} ∪ {0.5 ≤ X ≤ 3}
My solution:
(a) Not defined or 0, since we cannot find probability at a point using CDF. Is function continuous at x=2?
b) F(x=2) that is 4/3
(c) (F(1.5) -F(0.5))
(d) (F(3) -F(0.5)) But what would be the value of F(3)??
probability-distributions
asked Nov 20 '18 at 14:38
Robo4.4
33
add a comment |
I am trying to solve this problem, let me know if my approach is correct.
The problem statement is given below:
**Let X be a random variable with the cdf shown below**
enter image description here
The image of CDF is attached. Find the following probabilities:
(a) {X = 2}
(b) {X < 2}
(c) {X = 2} ∪ {0.5 ≤ X ≤ 1.5}
(d) {X = 2} ∪ {0.5 ≤ X ≤ 3}
My solution:
(a) Not defined or 0, since we cannot find probability at a point using CDF. Is function continuous at x=2?
b) F(x=2) that is 4/3
(c) (F(1.5) -F(0.5))
(d) (F(3) -F(0.5)) But what would be the value of F(3)??
probability-distributions
asked Nov 20 '18 at 14:38
Robo4.4
33
add a comment |
I am trying to solve this problem, let me know if my approach is correct.
The problem statement is given below:
**Let X be a random variable with the cdf shown below**
enter image description here
The image of CDF is attached. Find the following probabilities:
(a) {X = 2}
(b) {X < 2}
(c) {X = 2} ∪ {0.5 ≤ X ≤ 1.5}
(d) {X = 2} ∪ {0.5 ≤ X ≤ 3}
My solution:
(a) Not defined or 0, since we cannot find probability at a point using CDF. Is function continuous at x=2?
b) F(x=2) that is 4/3
(c) (F(1.5) -F(0.5))
(d) (F(3) -F(0.5)) But what would be the value of F(3)??
probability-distributions
asked Nov 20 '18 at 14:38
Robo4.4
33
I am trying to solve this problem, let me know if my approach is correct.
The problem statement is given below:
**Let X be a random variable with the cdf shown below**
enter image description here
The image of CDF is attached. Find the following probabilities:
(a) {X = 2}
(b) {X < 2}
(c) {X = 2} ∪ {0.5 ≤ X ≤ 1.5}
(d) {X = 2} ∪ {0.5 ≤ X ≤ 3}
My solution:
(a) Not defined or 0, since we cannot find probability at a point using CDF. Is function continuous at x=2?
b) F(x=2) that is 4/3
(c) (F(1.5) -F(0.5))
(d) (F(3) -F(0.5)) But what would be the value of F(3)??
probability-distributions
probability-distributions
asked Nov 20 '18 at 14:38
Robo4.4
33
asked Nov 20 '18 at 14:38
Robo4.4
33
asked Nov 20 '18 at 14:38
Robo4.4
33
asked Nov 20 '18 at 14:38
Robo4.4
33
asked Nov 20 '18 at 14:38
Robo4.4
33
33
add a comment |
add a comment |
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