Solveeit Logo
Login

Question

Statistics Question on Multivariate Distributions

Let 𝑋 and π‘Œ be random variables such that 𝑋~𝑁(1, 2) and 𝑃 (π‘Œ=𝑋2\frac{𝑋}{2}+1)=1. Let 𝛼=πΆπ‘œπ‘£(𝑋, π‘Œ), 𝛽=𝐸(π‘Œ) and 𝛾=π‘‰π‘Žπ‘Ÿ(π‘Œ). Then, the value of 𝛼+2𝛽+4𝛾 equals

A

5

B

6

C

7

D

8

Answer

6

Explanation

Solution

The correct option is (B): 6