As in Quiz 5.1 and Example 5.5, the 4-dimensional random vector Y has PDF
![](https://test.transtutors.com/qimg/6a0b8492-24cf-4e17-a5f3-af6119048cd5.png)
Find the expected value vector E[Y], the correlation matrix RY, and the covariance matrix CY.
Quiz 5.1
The random variables Y1,..., Y4 have the joint PDF
![](https://test.transtutors.com/qimg/ee3cfe4d-d2e1-4c91-9dbe-7b1530733164.png)
Let C denote the event that maxi Yi ≤ 1/2. Find P[C].
Example 5.5
As in Quiz 5.1, the random variables Y1,..., Y4 have the joint PDF
![](https://test.transtutors.com/qimg/88e9ab80-15bd-4925-a979-165b77f4d06d.png)