Question:
\(f_{x,y}(x,y)=\begin{cases} (x+y) & \quad 0\le x\le 1,0\le y\le 1 \\ 0 & \quad \text{otherwise } \end{cases}\)
The Probability \(P(x+y\le1)\) is:
\(f_{x,y}(x,y)=\begin{cases} (x+y) & \quad 0\le x\le 1,0\le y\le 1 \\ 0 & \quad \text{otherwise } \end{cases}\)
The Probability \(P(x+y\le1)\) is:
The Probability \(P(x+y\le1)\) is:
Updated On: Aug 20, 2024
- \(\frac{2}{3}\)
- \(\frac{1}{3}\)
- \(\frac{1}{6}\)
- \(\frac{1}{2}\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is(B): \(\frac{1}{3}\)
Was this answer helpful?
0
0
Top Questions on Random Variables and its Probability Distributions
- Let the mean and the standard deviation of the probability distribution be
be $\mu$ and $\sigma$, respectively. If $\sigma - \mu = 2$, then $\sigma + \mu$ is equal to ________.- JEE Main - 2024
- Mathematics
- Random Variables and its Probability Distributions
- A random variable X has the following probability distribution:
\(X\) 0 1 2 \(P(X)\) \(\frac{25}{36}\) k \(\frac{1}{36}\) If the mean of the random variable X is \(\frac{1}{3}\), then the variance is- KCET
- Mathematics
- Random Variables and its Probability Distributions
Questions Asked in CUET PG exam
- Find out the degree of the differential equation \(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
- CUET (PG) - 2023
- Differential Equations
- The surface area of the sphere x2 + y2 + z2 = 9 lying inside the cylinder x2 + y2 = 3y is
- CUET (PG) - 2023
- Surface Area of Cube, Cuboid and Cylinder
- The Ombudsman in a newspaper organisation represents the point of view of the ___.
- CUET (PG) - 2023
- Journalism
- The orthogonal trajectories of the family of curves y = \(ax^3\) is
- The minimum distance of the point (3, 4, 12) from the sphere x2 + y2 + z2 = 1 is
- CUET (PG) - 2023
- Coordinate Geometry
View More Questions