The probability distribution of a random variable x is given below
|
X |
0 |
1 |
2 |
3 |
|
P(X – x) |
k |
$\frac{k}{2}$ |
$\frac{k}{4}$ |
$\frac{k}{8}$ |
Then P(X ≤ 2) is
Answer & explanation
Correct answer: option 2
Find value of K by P(x) = 1
$∴ \frac{k}{1}+\frac{k}{2}+\frac{k}{4}+\frac{k}{8}=1⇒k=\frac{8}{15}$
P(x ≤ 2) = 1 - P(x = 3) = $1-\frac{k}{8}=1-\frac{8}{15×8}$
$1-\frac{1}{15}=\frac{14}{15}$