Let X be a random variable with $\mathbb{V}(X)=25$

It also satisfies $\mathbb{P}(X>20)>\frac{1}{4}$

Which of the following is true?

- $\mathbb{E}(X)>10$

- $5<\mathbb{E}(X)\le 10$

- $0<\mathbb{E}(X)\le 5$

- $\mathbb{E}(X)\le 0$

I tried using Chebyshev's inequality and found out that $\mathbb{E}(X)>5$ but wasn't sure how to go on about it.

It also satisfies $\mathbb{P}(X>20)>\frac{1}{4}$

Which of the following is true?

- $\mathbb{E}(X)>10$

- $5<\mathbb{E}(X)\le 10$

- $0<\mathbb{E}(X)\le 5$

- $\mathbb{E}(X)\le 0$

I tried using Chebyshev's inequality and found out that $\mathbb{E}(X)>5$ but wasn't sure how to go on about it.