Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value Tᵢ is a random variable with the following probability density: p(Tᵢ=tᵢ)={ll} c & tᵢ ∈[5,10] c & tᵢ ∈[45,50]. Let's assume Tᵢ 's are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 250 friends for the donation. Let X be the total amount in dollar Ana collected from these 250 friends. You need to simplify for this problem.